- Writing linear equations/functions All rights reserved. THEOREM: The graph of a linear equation y = mx + b is a non - vertical line with slope m and passing through (0, b), where b is a constant. +$&grUBj6!u@V]!e I}=s=cTqgb4TaI.m %"< endobj The Delta math quiz is available on the website of Delta. Why not y-x or y+x? (this could take a moment) . Students are presented with ordered pairs. Find the slope of this linear function. Question 4 Line L passes through the points (4 , -5) and (3 , 7). Delta Math covers over 80 topics, including linear equations and inequalities, exponent rules, slope-intercept form, absolute value equations, functions, decimal operations, and more. The slope of the line is enter your response here. People have a good or bad relationship with numbers. But there is a way for you to cheat Delta Math. ?IeI:CNqe2wyy,oxq:r9I&F2h3dqRYuP&jF_8LUdjQ' v:}B7.#WjacN#U5NN3EJ0**UEcv6N[gz(}dzaHU)%O$?+TOmr{vc(&#T9?"Tdyhc d^j!1n(a~LXx> hnG6z>o7~Lw/Sh 16 s'CnthG0 AnI{W4nch]p} 8n4:B >3Fha?Aal7#!-(d7@JNyI!g -[~?wWp"Cmk}MzAV[d/[^N>S*ry. Select the Inspect option now and get a developer window on your screen. A VPN will encrypt your data while traveling through the Internet so no one can see what youre doing or where youre located. Employ the two-point formula that is featured atop every worksheet along with a worked out example. Before we start, let's remember how slope is defined: Let's draw a line through two general points. Equation: m = tan() For Example: If angle = 90, then the slope is equal to tan(90). In case you are totally unconfident about your preparation and know-how of mathematics, land straight to the next solution. endobj 3. shop Then enter the Teacher Code. The x- and y-axes each scale by one. We are not liable or answerable to any third parties for the use of our service. a) Compute P[2Y< 1.9] Slope = Name : Answer key 4 -7 Find the Slope Calculate the rise and run to !nd the slope of each line. &wIWw?N}~EQ~+-`>"vKJK[s,!9'9*yaV (vY2cC~d ?9QBB8y\u CtB_WJjLV.P)Ql&acO)]JvP6EOTr{in$%!7R$Jc[XJI16T d:wudlqZx+@s=y)6qrk!QI:b{o.T@Wvk}{QVmIKTvF80IV~5ZTFJQT~:;Zm$ n Cc math i standards unit 5 slope intercept form part 2 displaying top 8 worksheets found for this concept. They use them to calculate the slope, using the rise over run formula. Additionally, you can also create custom functions by typing equations into Delta Maths input box or dragging and dropping equations from other applications onto the Delta Math window. d6}?Fh02gB=BBcz?PZ*8mjn2t%{ELo\~0{1Jir: K@fFkFNtSQ[Wl!My3WjeK_[WjC0xRR}M U, The platform empowers teachers to assign complex assignments, homework, and more to the students with a few simple clicks. Tags: Suggestions. 8. Mainly if it is an advanced test, delta math assignment practice is advised on priority. It helps students see how math is used daily and makes them more comfortable. Find the rate of change from 1 hour to 4 hours. Delta Math covers math topics that your students will see in their homework and assessments at school. YOU TRY: Interpret the slope. All Rights Reserved. f(x) = 6x5 7x4 9x2F(x) = ? (Type an integer or a simplified fraction.). Delta Math: Finding the Slope of a Line Graphically Ciary Lugo 14K views 2 years ago Delta Math - Day 4 - Writing Equations of Lines Jose Barragan 4.5K views 3 years ago. Here are some good things to know: - m = slope - (x, y) = point 1 - (x, y) = point 2 - rise = the difference in the y-values (y - y) Let's find how much the change in x aka the run is. Find the Slope: Line segments in a Triangle. You can then access websites, files, and apps that are blocked by your school or workplace. Yes, you are correct. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . About Delta Answer Math Geometry Key . The tool adds convenience to the assignment work creation but turns out to be a stress-driving element for students who are still unprepared or not ready to accept the work. ofthe each graph, and verify that it checks in bot equations. Employ our free worksheets to sample our work. We have a printables on a variety of middle school math topics. None other than at All Assignment Support, where students and people from across different countries are connecting online to smartly face their academic challenges. To do that, we take the point with the greatest x value: (5,6) Find the x value of that point: 5 and subtract the x value of the other point. You can also get free Delta Math quizzes and answer them as often as you want, with no limit on how many times you can take a Delta Math quiz or how much time is allowed for it. By Subscribing, you Accept our Privacy Policy. As you answer more questions correctly, you will be able to unlock more difficulty levels for your Delta Math quiz answers, which will unlock more options for your Delta Math questions. QeJ& I think that when X2 = X1, the slope is undefined. Well, the difficult level loaded in the delta math platform is the answer. Direct link to sp6356's post Using the slope formula,, Posted a year ago. The slope-intercept form of the equation of a line is y = mx + b. Cypress College. Our mission is to provide a free, world-class education to anyone, anywhere. From a graph 2. Bear in mind the platform utilizes advanced software, so use the suggestion if you are a savvy techie. With keen editors and friendly support, we guarantee quality, ORIGINAL papers and essays that score high. But trouble mounts up for students with the built-in tracking tool in Delta Math that analyses a students individual performance. It gives students a plethora of problems to broaden their knowledge and skills. These experts are skilled at mathematics equations, and years of expertise and qualification evidence that they will answer pretty well most of the assignment questions you have on the way. Find the most general antiderivative of the function. The y-intercept is the y-coordinate of the point where the graph intersects the y-axis. Please login to your account or become a member and join our community today to utilize this helpful feature. Plot the points on the graph based on the x- and y-coordinates provided. You have to log in to your account and start solving the problems there. Then enter the Teacher Code.. Using the slope formula, m= (6-0)/(3-0) which is just m=6/3=2. So what can be done? <> So the slope of a line is defined to be rise over run. HMs6{$; ytuf;9$,Q %%5M|p(r.cQ\UXfpX' R92!mx[D Sorry, the comment form is closed at this time. Students are given ordered pairs. Summary: Forms of two-variable linear equations Learn Slope from equation Writing linear equations in all forms Forms of linear equations review Practice Slope from equation 4 questions Practice Linear equations in any form 4 questions Practice Interpreting linear functions and equations Learn Linear equations word problems: earnings As a reminder, here is the slope formula: Posted 6 years ago. . Construct your website in the perfect Ratio. Step 1. If you're seeing this message, it means we're having trouble loading external resources on our website. Whether you want to complete a mathematics assignment or want someone to give a test on your behalf online, outsource experts from All Assignment Support and be prepared for the best grades with a smile on your face. Step 3. Introduction to slopes: Based on the position of the line on the graph, identify the type of slope - positive, negative, zero or undefined. Use the x- and y- coordinates provided to find the slope (rise and run) of a line using the ratio method. Graph the line 4x - 2y = 10. 4 0 obj You can also ask your teachers or friends who have passed this test to help you with your problems. A powerful architecture & Construction theme. You can specify conditions of storing and accessing cookies in your browser, Delta Math - Finding the Slope Graphically, for the following indefinite integral, find the full power series centered at x=0 and then give the first 5 nonzero terms of the power series. Let's say we've looked at our graph, and have picked the points (3, 2) and (5, 6). With the first method, maximum heart rate,y, in beats per minute is y = 220 - x, where x is the person's age. Delta Math Code and HW Answer Keys. In the next section, draw a line through the single-point plotted on the graph to represent the type of slope mentioned. Quickly access your most used files AND your custom generated worksheets! A free version also works well for most people but doesnt provide complete security because it uses public Wi-Fi hotspots instead of connecting directly to a server overseas. endstream endobj 36 0 obj <>stream This can be done by going to your browsers settings and changing the homepage. Draw a line through a point plotted on the graph based on the slope provided in this set of pdf worksheets which is suitable for 9th grade children. One such skill that is often overlooked is mathematics. Take the help of some online tutorials and guides and try to figure out the best possible technique to answer the delta math queries. 55 0 obj <>stream Plot and label 2 points on the line, anywhere on the line. And let me show you what that means. <> b. If you're seeing this message, it means we're having trouble loading external resources on our website. Divide y by x to find slope m = y/x Example: Find the Slope Say you know two points on a line and their coordinates are (2, 5) and (9, 19). If none of them worked out, you could approach AllAssignmentSupport.com, where students and working professionals are discovering a unique way to get their work done with precision by qualified experts. That prevents ISPs from tracking your activities, which is why theyre used by many people worldwide who want to access sites like Netflix that arent available in their countries. How much is a student progressing, or how worse are they doing in mathematics? h 1@ryR+h t}VXfr`#:$3&yv}Rp=:_tP8$Sn!e9HeK\NA7=~q7J@MW4y^[a u' 1t'hoFWD}kK.9VLya30 Delta Math is a new way of looking at math that gives students an understanding of how math works in the real world. Direct link to Isaiah softhal's post bro im honestly so gone, Posted 2 years ago. Boston College Football Parking Passes, Find the Missing Coordinates You can always figure out the slope of a line if you have 2 points. Direct link to Eileen Chao's post For the last one, if x_1 , Posted 3 years ago. n(Z:? Delta Math is a new way of looking at math that gives students an understanding of how math works in the real world. eWw+.5C@U_ 8@.pFct F`^+G{ +G)AKaLOg9(LXbp,H^,^VgMbQ%.DoM yw9I&c5. It teaches them how to make logical arguments using data and statistics, which are essential for success in college and career. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. endstream endobj 34 0 obj <>stream Start with formulas, and have them glued in your mind. H!X('I!!'}H2\6$UDT 5#$O_}Hr-ij,a=E5=8NbB>Bn`VRK,.`dOne{u$*$4&{jM'9G Kw>e)t$V!*$ lG zel#$bR_}R1W,hr7" $[{1BxKZ$:\ I#$ ! This page consists of printable exercises like introduction to slopes such as identifying the type and counting the rise and run; finding the slope using ratio method, slope-intercept formula and two-point formula; drawing lines through coordinates and much more! The DeltaMath platform has been a lifesaver. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Slope Formula Calculator (Free online tool calculates slope given 2 points) Objective Students will explore the properties of slope and practice calculating the slope of a line based on two points or from a graph . Objective Proficiency Answer Book Pdf, Simply, all you have to remember is that the slope is equal to the tangent of the angle. Solve to find the x-intercept and y-intercept. Go to : www.deltamath.com and sign in as a Student. They can assign a unique assignment to every student using Delta math, and it will hardly take a few minutes. You can use a different browser than the one on the computer with delta math installed. For Graph B, move 4 units up and 3 units right. b) Compute P[Y(n) < 1.9]. Direct link to Sean Chai's post Something to Think About:, Posted 7 years ago. Answer. Why is the slope formula y/x? - Interpreting linear equations/functions 6. If the line The line also contains the point (6, 0). HWKk1)m1^%{m! But why will you need them? Key Words. Delta Math offers an easy-to-use interface, which makes it easy for anyone to learn how to use this app. Jun 26, 2021 - 4.2 Determining Slope and y-intercept Question 2. Slow Cooker Lamb And Lentil Curry, Afterward, go back into your browser and change the homepage to where it was before. ?m04o`htqoWE?cKKQ /z0YkjSAt+&2K9O! g;hF,%g^{(dF[ 2|&-8 For the last one, if x_1 equals x_2 it is undefined, this is because, from the other videos, it was said that if the two points have the same x when drawing the line, it will be straight up and down, with no slope, but those are called undefined as there really is an undefined slope to it. The slope of any line through two different points with the same x-coordinate (that is, a vertical line) is always undefined, for the reason you stated. endobj This means that instead of getting the question from your browser, you get it from somewhere else like Google or yahoo answers or some other website where they host the questions. (Example 1) Question 1. Not only do teachers have exposure to the most difficult mathematic equations in delta math, but they also have access to students data with the tool. hbbd``b`Z$ $E@HcY $.3012H7 Delta Math also offers a variety of features that can help you improve your skills, including: If you want to cheat Delta Math, you can use a VPN. They can track and view everything on a single dashboard. stream Eureka Math Grade 8 Module 4 Lesson 15 Opening Exercise Answer Key. But we recommend trying to confront them. baL8h%Yq{JXGsc6Xzo ]@, ` r Practice finding the slopes of the lines shown on the graphs. You also must ensure that your students know what they should do when they see a question they dont understand. The first thing that you need to do is know what type of question is being asked by the professor or professors assistant. If you have difficulty understanding the answers, you may try to check the explanations given on our site. This video was created to help students with Delta Math, "Finding the slope graphically" Mainly when the professor has been giving you a precious lecture on a particular mathematic subject or equation, go through the details; maybe this will help you identify the upcoming delta math challenge. Mei an pericula, 100 examples of masculine and feminine gender, how many copyright infringement notices can i get, progress lighting installation instructions, 1.2: Graphing Linear Equations - Mathematics LibreTexts, Diners, Drive-ins And Dives Ohio Columbus. Students are shown graphs of slopes. Two problems have an x/y value table. Now we can write a general formula for slope: Let's use the slope formula to find the slope of the line that goes through the points. Some problems contain x- and y-intercepts as well. It doesn't matter which point is considered #1 or #2. We deliver original and unique custom assignment help. Paul Dejong Fangraphs. Delta Math has a variety of built-in functions, including trigonometric functions, logarithmic and exponential functions, and many more. From an equation 3. (5, 45) and (15, 135) are fine You need to calculate the change in y and the change in x here. jT,2tb}wA?.RySaL~ii QF#.Fuvam-B:&Y,-!`xP|_/MFP3?WZ0%;ftD@:LMk#:++CFAZ$w6NY/[0YKq ; .dm~BS!C8ellA?L.6G`_z^[Lsie|o"i -9claSD}vlLIO|"[;[Xz d/!v?|8>pK~j&-/TyBA99QJ;{A5FkZo|!L &^/#59 Explain how you can use mental math to find the slope of the line. 22 in slope-intercept form, you may recognize that the equations have the same slope and same y -intercept. More importantly, this means they know how to approach problems with different strategies when solving math problems, such as tackling problems one at a time or tackling them by breaking them down into smaller parts if possible. This exercise is recommended for 6th grade and 7th grade children. Find slope by finding the difference in the y points, and divide that by the difference in the x points. In the very last part, why is the formula for slope delta y/delta x instead of delta x/ delta y? This is because our work customized. Show Calculator Stuck? The solution often doesnt work for students because it may disclose the answer but doesnt summarize the overall equations. A coordinate plane. The slope-intercept form of the equation of a line is y = mx + b. Cypress College. -10 -9 -8 -5 -4 -3 -2 -1 3. . [["AGRx]=3l9(l##d Students are given ordered pairs. Select the "Inspect" option now and get a developer window on your screen. Use pencil and paper. View Answers. The difference between y coordinates y is y = y 2 - y 1 y = 19 - 5 y = 14 Highly recommended for in-person and at-home instruction. This set of fun activitiy worksheets contains houses with roofs of various sizes. 0s make it easy because you end up with a proportional relationship where y/x = 6/3 or when you reduce and multiply by x, you get y=2x. But where will you find these experts? If I Get The Right Answer Then Why Do I Have To Simplify? Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y =mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Also be sure to include the slope formula and define it as vertical change over horizontal change as well. They use the numbers on the tables to calculate the slopes of the lines. We are an online custom writing service to provide products tailored for customers to use in their own way. (Type an integer or a simplified fraction.) Direct link to TheCodingLegend INACTIVE's post Slope is basically the ch, Posted a year ago. To find the slope of the line, pick two points on the line. Explain how you can use mental math to find the slope of the line. It shows the four types of slope, and shows how to calculate the slope of a line. Once all of these programs have been downloaded and installed onto your computer or laptop, it will be time to start playing delta math on your computer or laptop! Direct link to christian31994's post If I Get The Right Answer, Posted 2 years ago. For instant outcomes, you may use this free slope equation calculator. Some are devoted to solving complex math equations, while others get easily frustrated by the mathematics sequence that looks good on the answer sheet but turns out irrelevant when it comes to assignment tests. Delta Math is a helping hand to math teachers with the use they can mix and match problem sets to create a unique test for students with ease. Delta Math is a free math tool that allows you to create your custom functions. How to Find the Slope of an Equation? Hn1>emJPE nBU Ao"E;9p4 dG!~vL@q=q}md}=V5X Ha`,aVvbPYy#@F%7fH(JfI1^[_*KJ85dq!P|v\sN p{t2qu:yB8)k!uv2yt BWZ[QV(+~ Delta Math teaches students to think like scientists and engineers, not just mathematicians. in the formula mx+b=y, I understand that "m" is the slope and "b" is the y-intercept, but what is x and y? Slope is something that is also referred to as the rate of change. Its interesting to see a breakdown of delta math answers with brief explanations coming from experts at All Assignment Support. The Pros and Cons of Online Learning: What You Need to Know, How to Overcome Writers Block and Get Your Assignment Done, The Benefits of Using Professional Assignment Help Services. 4.1D Lesson: Finding Slope from Two Points - #1-2 Jason Moldovan 7 views Mireida Perez-Cortez 98 views Simplifying Algebraic Expressions | Distributive Property & Combining Like Terms | Math. Although both are equal, it is just easier to work with if it's simplified afterwards. Two problems show a graph. The first thing that you need to do is get out of the browser that you are currently using. Be rest assured to get an essay written from scratch. Multiple equations, numbers, figures, and calculations make the overall process no less than a roller coaster. The table represents the relationship for Plane B. Kindly download them and print. You need to subtract using the same ordering. Slope intercept form worksheet cc math i standards answer key. A. Find the slope of the roof of each house. Plot the Points and Find the Slope Plot the points on the graph based on the x- and y-coordinates provided. Direct link to UAO's post *Something To Think About, Posted 3 years ago. Learn how to write the slope formula from scratch and how to apply it to find the slope of a line from two points. Alternatively, you can manually create answers to the problem and prepare for the upcoming mathematic assignments. Privacy Policy Terms of Service. Good Titles for Essays about yourself: 31 Personal Essay Topics, How to Write a Diagnostic Essay: Meaning and Topics Example, Essay Reading: Practice and Importance of Reading Essays, Have your assignments done by seasoned writers. Report a problem Loading. hUn0?ZQ_b;T!-mE jWx"%qJF9GJTM&\J"}"|"9XHbQp)Az>Q4/u<3)5cKMdcc13cCAaN&#VPb 24/7, A variety of different tests are available, A way to see how your score compares with another users score. Tyquan Ward Brooklyn, NY Anything we do in class can be made into an assignment using the "Create Your Own Problem" feature! Transcript. In this case, if x was 5, y would be 35 or vice versa. x= y=. This lack of confidence prevents many students from doing well on math tests. endstream endobj 35 0 obj <>stream Round your answer to three decimal places. The platform has an in-built tracking system that lets a teacher/professor monitor the performance of a student on an individual basis. But in case the solution isnt working out. Students determine the ordered pairs of the points shown. Based on the two points plotted on a graph, calculate the rise and run to find the slope of the line in the first level of worksheets. On these printable worksheets, students are given ordered pairs or a graph and are instructed to find the slope. There are several types of VPNs some cost nothing, and others have monthly fees. For example, if you had a savings account that you deposited no money into initially but you deposit 20$ weekly, your rate of change, or slope for this problem would be 20. You should now have a new page open up in your browser window. % Direct link to Isha's post Simplifying just makes it, Posted 3 years ago. ]JR({Hz6C Finding Slope and the Y-intercept from a Linear Equation Worksheets These Linear Equations Worksheets will produce problems for practicing finding the slope and Y-intercept from an equation. Lets jump straight to the ultimate resolution, the HACKS, because these are the only ways to survive. Triangles are represented on each graph in this assembly of printable 8th grade worksheets. 1 0 obj This site is using cookies under cookie policy . Please Log In to Super Teacher Worksheets. 2023 GradeBees.com. Direct link to Joy Young's post in the formula mx+b=y, I , Posted 6 years ago. The slope from one point on a line to another is the ratio . -5-4 -3 5 4321-1-2-3-4-2 -1-2 -5 -1 -5 2 Slope = 2 4) -5-4 -3 5 4321-1-2-3-4-2 -1 2 3 4 5 2) 3 4 5 5) 5 4321-1-2-3-5 -4-4 -3 2 Slope = -5 4 5 4321-1-2-3-5 -4-2 -5 -1 -5 Slope = 7) -5-4 -3 5 4321-1-2-3-4-2 -1-4 -3 2 All Rights Reserved. Our team of vetted writers in every subject are waiting to help you pass that class. If you're seeing this message, it means we're having trouble loading external resources on our website. B. delta math answers ratios of special triangles delta math answers finding the slope graphically delta math answers key calculus delta math answers hack delta math answers delta math answers algebra 1 delta math answers pre calc delta math answer key geometry examen san marcos 2004 / cloze test for bank exams tricks / what does abdominal . A virtual private network (VPN) is a secure connection that allows you to connect to a server in another location. Answer keys are included. It doesn't matter which one you pick as "Point 1" and "Point 2." 4 a. As the assignment test approaches nearer, you will grow expertise in most math equations covered in your syllabus. 29 0 obj <> endobj They use them to calculate the slope, using the. You will now want to ensure that you have all the programs needed for this game downloaded to your computer or laptop. Solve each system by graphing: { y = 1 2 x 4 2 x 4 y = 16. The first thing that you need to do is to use a virtual computer. I hope this somewhat answers your question. Find the slope of the line pictured on the graph. I . With a team of extremely dedicated and quality lecturers, edgems math course 1 answer key will not only be a place to share knowledge but also to help students get inspired to explore and discover many creative ideas from themselves. Worksheet: Calculating the Slope of a Line. Improve your math knowledge with free questions in "Find the slope of a graph" and thousands of other math skills. However, it does help if you dont want any risk of guessing wrong digits, for example, if your teacher gave you a question with only two possible answers. Now available for the 2021-2022 school year. Direct link to Isha's post Yes! Established in 1974, during the early stages of Abu Dhabis urban planning that has started four years back, Sanitary Materials Company (SMC) was one of the early firms that grew up and rose along with the development of a new city. Example 1: Finding the Slope from a Graph The table below shows the relationship between the number of seconds y it takes to hear the thunder after a lightning strike and the distance x you are from the lightning. Then, find the slope of each line, so derived. Unit: Linear equations, functions, & graphs, This topic covers: Then, find the slope of each line, so derived. If no resolution is working out, the inspect tool may help. #%IQGE2\\wtDCmY^`TyF,YYz?h5aTVQpeTsVgvu{w9cI]FO~g5YI start text, S, l, o, p, e, end text, equals, start fraction, start color #e07d10, start text, C, h, a, n, g, e, space, i, n, space, y, end text, end color #e07d10, divided by, start color #1fab54, start text, C, h, a, n, g, e, space, i, n, space, x, end text, end color #1fab54, end fraction, left parenthesis, start color #1fab54, x, start subscript, 1, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 1, end subscript, end color #e07d10, right parenthesis, left parenthesis, start color #1fab54, x, start subscript, 2, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 2, end subscript, end color #e07d10, right parenthesis, start color #1fab54, start text, c, h, a, n, g, e, space, i, n, space, x, end text, end color #1fab54, start color #1fab54, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end color #1fab54, start color #e07d10, start text, c, h, a, n, g, e, space, i, n, space, y, end text, end color #e07d10, start color #e07d10, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, end color #e07d10, start text, S, l, o, p, e, end text, equals, start fraction, start color #e07d10, start text, C, h, a, n, g, e, space, i, n, space, y, end text, end color #e07d10, divided by, start color #1fab54, start text, C, h, a, n, g, e, space, i, n, space, x, end text, end color #1fab54, end fraction, equals, start fraction, start color #e07d10, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, end color #e07d10, divided by, start color #1fab54, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end color #1fab54, end fraction, left parenthesis, 2, comma, 1, right parenthesis, left parenthesis, 4, comma, 7, right parenthesis, x, start subscript, 1, end subscript, equals, 2, y, start subscript, 1, end subscript, equals, 1, x, start subscript, 2, end subscript, equals, 4, y, start subscript, 2, end subscript, equals, 7, space, space, space, space, space, space, space, space, start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction, equals, start fraction, 7, minus, 1, divided by, 4, minus, 2, end fraction, equals, start fraction, 6, divided by, 2, end fraction, equals, 3, left parenthesis, 6, comma, minus, 3, right parenthesis, left parenthesis, 1, comma, 7, right parenthesis, x, start subscript, 1, end subscript, equals, y, start subscript, 1, end subscript, equals, x, start subscript, 2, end subscript, equals, y, start subscript, 2, end subscript, equals, start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction, equals, left parenthesis, 2, comma, 5, right parenthesis, left parenthesis, 6, comma, 8, right parenthesis, left parenthesis, 2, comma, minus, 3, right parenthesis, left parenthesis, minus, 4, comma, 3, right parenthesis, left parenthesis, minus, 5, comma, minus, 7, right parenthesis, left parenthesis, minus, 2, comma, minus, 1, right parenthesis, x, start subscript, 2, end subscript, equals, x, start subscript, 1, end subscript, start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction.