The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Which Graph Line? (1)

In this worksheet, students match the equation to the correct graph line.

'Which Graph Line? (1)' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Find the Equation of a Line

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

The gradient and intercept of a line can easily 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

The gradient of the line, m, is 2 and the intercept, c, is 1.

This means that it 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.

 

 

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
m = 2 and c = 3
  • Question 2

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

 

CORRECT ANSWER
y = ¾x + 4
EDDIE SAYS
m = ¾ and c = 4
  • Question 3

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

 

CORRECT ANSWER
y = 8 - 2x
EDDIE SAYS
m = -2 and c = 8
  • Question 4

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

 

CORRECT ANSWER
y = 7
EDDIE SAYS
m = 0 and c = 7
  • Question 5

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

 

CORRECT ANSWER
x = 8
  • Question 6

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

 

CORRECT ANSWER
y = x
EDDIE SAYS
m = 1 and c = 0
  • Question 7

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

 

CORRECT ANSWER
y = 8 - x
EDDIE SAYS
m = -1 and c = 8
  • Question 8

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

 

CORRECT ANSWER
y = ½x + 6
EDDIE SAYS
m = ½ and c = 6
  • Question 9

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

 

CORRECT ANSWER
y = 6 - ½x
EDDIE SAYS
m = -½ and c = 6
  • Question 10

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

 

CORRECT ANSWER
y = -¼x + 9
EDDIE SAYS
m = -¼ and c = 9
---- 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.

Start your £1 trial

Start your trial for £1