The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Match Equation to Graph Line

In this worksheet, students will match equations to their corresponding graph line.

'Match Equation to Graph Line' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Translate Situations/Procedures into Expressions, Formulae and Graphs

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The gradient and intercept of any line can be stated by looking carefully at its equation.

 

For the line with equation y = mx + c, the gradient is m and the intercept on the y-axis is c.

m is the coefficient of x when in the form y = 

c is the number on its own

 

Example

Draw the line which is represented by y = 2x + 1

 

Answer

Comparing y = 2x + 1 to y = mx + c, we see that m = 2 and c = 1

Therefore, the gradient of the line (m) is 2 and the intercept (c) is 1.

This means that the line crosses the y-axis at (0, 1) and from this point we move 1 to the right and 2 up to draw the line (or 4 to the right and 8 up).

 

The line is shown below:

 

 

Let's tackle some questions together.

Remember, you can always refer back to this page for guidance if you need to!

 

Which of the given equations represents the red line shown below?

 

 

y = 2x - 3

x = 2y + 3

y = 2x + 3

y = 3x + 2

Which of the given equations represents the red line shown below?

 

 

y = 4x - 3

x = ¾y + 4

y = ½x + 4

y = ¾x + 4

Which of the given equations represents the red line shown below?

 

y = 8 - 2x

x = 8x - 2

y = -8x -2

y = 8x + 2

Which of the given equations represents the red line shown below?

 

 

x = 7y

x = 7

y = 7x

y = 7

Which of the given equations represents the red line shown below?

 

x = 8

x = 8y

y = 8x

y = 8

Which of the given equations represents the red line shown below?

 

x = 0

xy

y = x

y = xy

Which of the given equations represents the red line shown below?

 

x = 8

y = 8 - x

y = 8

y = 8xy

Which of the given equations represents the red line shown below?

 

 

y = 2x + 6

x = ½y + 4

y = ½x + 6

y = 6x + ½

Which of the given equations represents the red line shown below?

 

y = 2x - 6

x = 2y + 6

y = -2x + 6

y = 6 - ½x

Which of the given equations represents the red line shown below?

 

y = ¼x - 9

x = 9y + ¼

y = -¼x + 9

y = 9 + ¼x

  • Question 1

Which of the given equations represents the red line shown below?

 

 

CORRECT ANSWER
y = 2x + 3
EDDIE SAYS
First, let's remember our important equation y = 2x +1. We can see that the gradient of the red line (m) is 2 and the y-intercept (c) is 3. This means that the line crosses the y-axis at (0, 3) and from this point we move 1 to the right and 2 up to draw the line. So, m = 2 and c = 3. Therefore the equation that represents the red line is y = 2x + 3.
  • Question 2

Which of the given equations represents the red line shown below?

 

 

CORRECT ANSWER
y = ¾x + 4
EDDIE SAYS
We know that we must first write down our equation y = 2x +1. Then, we look at the graph. We can see that the gradient of the red line (m) is ¾ and the y-intercept (c) is 4. This means that the line crosses the y-axis at (0, 4) and from this point we move 1 to the right and ¾ up to draw the line. So, m = ¾ and c = 4. Therefore, the equation that represents the red line is y = ¾x + 4. How are you getting on? Is this beginning to make sense to you? Let's push on.
  • Question 3

Which of the given equations represents the red line shown below?

 

CORRECT ANSWER
y = 8 - 2x
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of -2 and the y-intercept (c) is 8. This means that the line crosses the y-axis at (0, 8) and from this point, we move 1 to the right and 2 down to draw the line. m = -2 and c = 8. y = -2x + 8 We then rearrange this formula to get y = 8 - 2x.
  • Question 4

Which of the given equations represents the red line shown below?

 

 

CORRECT ANSWER
y = 7
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of 0 and the y-intercept (c) is 7. This means that the line crosses the y-axis at (0, 7) and from this point, we move 1 to the right and 0 up or down, in order to plot the line. m = 0 and c = 7 y = 0x + 7 As there is no value for x, we simplify this formula to get y = 7. Are you feeling more confident?
  • Question 5

Which of the given equations represents the red line shown below?

 

CORRECT ANSWER
x = 8
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has an undefined gradient, as all points on the line have the same x-intercept (8,0). We can also identify that there is no y-intercept (c). m = undefined c = 0 x = 8
  • Question 6

Which of the given equations represents the red line shown below?

 

CORRECT ANSWER
y = x
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of 1 and the y-intercept (c) is 0. This means that the line crosses the y-axis at (0, 0) and from this point, we move 1 to the right and 1 up to draw the line. m = 1 and c = 0 y = 1x + 0 y = x Look at the line on the graph. Did you notice that whatever the value of the y-coordinate is, is also the value of the x-coordinate? Great focus if you spotted that!
  • Question 7

Which of the given equations represents the red line shown below?

 

CORRECT ANSWER
y = 8 - x
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of -1 and the y-intercept (c) is 8. This means that the line crosses the y-axis at (0, 8) and from this point, we move 1 to the right and 1 down to draw the line. m = -1x and c = 8 y = -x + 8 We then rearrange this formula to get y = 8 - x.
  • Question 8

Which of the given equations represents the red line shown below?

 

 

CORRECT ANSWER
y = ½x + 6
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of ½ and the y-intercept (c) is 6. This means that the line crosses the y-axis at (0, 6) and from this point, we move 2 to the right and 1 up to draw the line. m = ½ and c = 6 y = ½x + 6 Keep this up, there are only 2 more questions to complete!
  • Question 9

Which of the given equations represents the red line shown below?

 

CORRECT ANSWER
y = 6 - ½x
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of -½ and the y-intercept (c) is 6. This means that the line crosses the y-axis at (0, 6) and from this point, we move 2 to the right and 1 down to draw the line. m = -½ and c = 6 y = -½x + 6 We then rearrange this to get, y = 6 - ½x
  • Question 10

Which of the given equations represents the red line shown below?

 

CORRECT ANSWER
y = -¼x + 9
EDDIE SAYS
y = 2x +1 Looking at the graph we can see that the red line (m) has a gradient of -¼ and the y-intercept (c) is 9. This means that the line crosses the y-axis at (0, 9) and from this point, we move four to the right and 1 down to draw the line. m = -¼ and c = 9 y = -¼x + 9 That's another activity ticked off! Why not take a break before attempting another one?
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.