# Straight Line Graph Equation

## An online exercise about the equation y=mx+c and the features of a straight line graph.

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This is level 2: parallel and perpendicular lines You can earn a trophy if you get at least 7 questions correct and you do this activity online.

 1. The line segment AB is parallel to the x-axis. If A is (4,8) and B is (8,p), find the value of p. 2. The line segment CD is parallel to the y-axis. If C is (5,4) and D is (q,8), find the value of q. 3. What is the gradient of the line parallel to the line $$y=9x-4$$ ? 4. What is the gradient of the line parallel to the line $$3y+9x=5$$ ? 5. Find the equation of the line that is parallel to $$y=3-5x$$ and passes through the point (9,-40). Give your answer in the form $$y=mx+c$$ 6. What is the gradient of the line perpendicular to the line $$5y=x+5$$ ? 7. What is the gradient of the line perpendicular to the line $$6y+2x-5=0$$ ? 8. Find the equation of the line that is perpendicular to $$y=x-9$$ and passes through the point (2,3) Give your answer in the form $$y=mx+c$$ 9. Find the equation of the line that is perpendicular to $$5x+7y-12=0$$ and passes through the point (2,2) Give your answer in the form $$ax+by+c=0$$ where a,b and c are integers 10. If A is (3,6) and B is (4,1), find the equation of the line which passes through A, and is perpendicular to the line passing through both A and B. Give your answer in the form $$ax+by+c=0$$ where a,b and c are integers
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## 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.

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## Description of Levels

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Level 1 - The equation of a straight line

Level 2 - Parallel and perpendicular lines

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.

## Curriculum Reference

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

## Example

For Level 2 you will need to know the following:

• If two lines are parallel they will have the same gradient.
• If two lines are perpendicular the gradient of one will be the negative reciprocal of the gradient of the other.

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.

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