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Straight Line Graph EquationAn online exercise about the equation y=mx+c and the features of a straight line graph. |
This is level 2: Parallel and perpendicular lines. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online.
Can you correct your mistakes in order to get full marks?
This is Straight Line Graph Equation level 2. You can also try:
Gradient
Graph Match
Level 1
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. |
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS: "This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles." |
Whose Idea Was This?Did you enjoy doing this 'Straight Line Graph Equation' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept. 
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Featured ActivityJugs The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed. |
AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe |
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic. | ||
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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: |
Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes. |
It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B! |
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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. |
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Scan the QR code below to visit the online version of this activity.
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❎Plot - Complete a table of values then plot the corresponding points to create a graph.
Match - Match the graphs with their equations or descriptions in this interactive drag-and-drop activity.
V & H - Questions about the equations of straight line graphs that are parallel to the axes.
Level 1 - The equation of a straight line
Level 2 - Parallel and perpendicular lines
Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).
More Graphs Activities including lesson Starters, visual aids, investigations and self-marking exercises.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
In general, the equation of a straight line can be written in the form \(y = mx + c\).
In this equation, \(m\) represents the gradient of the line. The gradient describes how steep the line is and can be calculated as the change in \(y\) divided by the change in \(x\). This is often described as the rise over the run.
The letter \(c\) represents the \(y\)-intercept of the line. This is the point where the line crosses the \(y\)-axis.
A horizontal line has gradient zero, so its equation is of the form \(y = c\), where \(c\) is a constant.
A vertical line cannot be written in the form \(y = mx + c\). Its equation is of the form \(x = d\), where \(d\) is a constant. This line crosses the \(x\)-axis at \((d, 0)\).
If two lines are parallel, they have the same gradient.
If two lines are perpendicular, the gradient of one line is the negative reciprocal of the gradient of the other. For example, if one line has gradient \(2\), a line perpendicular to it will have gradient \(-\frac{1}{2}\).
Some questions have a hint that can help you find a way to solve the problem. If you see a button, click it to reveal the hint.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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