# Which Graph Line? (2)

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

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Find the Equation of a Line

Difficulty level:

### 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 - 3

Comparing y = 2x - 3 to y = mx + c, we see that m = 2 and c = -3

The gradient of the line, m, is 2 and the intercept, c, is -3.

This means that it crosses the y-axis at (0, -3) 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 in red.

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

y = 2x - 4

x = 2y + 4

y = 2x + 2

y = -4x + 2

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

y = -2x

x = 2y

y = x - 2

y = 2x

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

y = x - 3

y = -x - 3

x = -3 - y

y = -3x

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

y = -x

y = x + 1

y = x - 1

y = 1 - x

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

y = -3

x = -3y

x = -3

y = -3x

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

y = 4 - 2x

y = -2x - 4

y = 2x + 4

-y = 2x - 4

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

y = -5 - 4x

y = 5x - 4

y = -5x + 4

y = 4x - 5

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

y = 0

x = 0

y = x

y = anything

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

y = 1 - ½x

y = 3x - 1

x = 3y - 1

3y = x - 3

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

y = -½x + 2

x = 2y + ½

y = -½x - 2

y = -2 + ½x

• Question 1

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

y = 2x - 4
• Question 2

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

y = x - 2
• Question 3

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

y = -x - 3
• Question 4

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

y = 1 - x
• Question 5

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

x = -3
• Question 6

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

y = -2x - 4
• Question 7

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

y = 4x - 5
• Question 8

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

y = 0
• Question 9

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

3y = x - 3
• Question 10

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