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Equation of a Line Through Points

Match the equations of the straight line graphs to the clues about gradients and points.

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This is level 1: find the equation of the line given its gradient and a point it passes through. Type in the letter of the equation that is the answer for each question. You can earn a virtual trophy if you do this activity online.

\(y=x\)\(y=-x\)\(y=2x\)\(y=-2x\)\(y=x+2\)\(y=x+3\)\(y=x-2\)\(y=2-x\)\(y=3-x\)\(y=2x+3\)\(y=3x-4\)\(y=1-2x\)\(y=3-2x\)\(y=\frac12 x+2\)\(y=\frac13 x-1\)\(y=-\frac12 x-2\)\(y=-\frac13 x+1\)\(y=5 +\frac23 x\)\(y=5 -\frac32 x\)\(3y=2x+1\)

Gradient 1,
Passing through (3,3)

Correct Wrong

Gradient 1,
Passing through (2,4)

Correct Wrong

Gradient -1,
Passing through (1,2)

Correct Wrong

Gradient \( \frac12 \),
Passing through (4,4)

Correct Wrong

Gradient -2,
Passing through (2,-3)

Correct Wrong

Gradient \( \frac23 \),
Passing through (3,7)

Correct Wrong

Bonus question: From the letters chosen as answers to the first six questions make a six letter mathematical word.

Correct Wrong

Check

This is Equation of a Line Through Points level 1. You can also try:
Graph Match Level 2 Level 3 Level 4 Mixed Questions

Instructions

Try 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.

Why am I learning this?

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 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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This activity comprises of five challenges each one requiring you to type in one more fraction than the previous challenge and each starting with a different fraction. The starting fractions are one tenth, one quarter, one third, one half and four sevenths.

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Description of Levels

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Level 1 - Find the equation of the line given its gradient and a point it passes through

Level 2 - Find the equation of the line given two points it passes through

Level 3 - Find the equation of the line given the equation of a parallel line and a point it passes through

Level 4 - Find the equation of the line given the equation of a perpendicular line and a point it passes through

Mixed Questions - A multi-level online exercise about the equation and features of a straight line graph.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

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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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Help Video

You may also want to use an interactive tool to check your working. Try Graph Plotter.

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.

Log in Sign up

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