Free Printable Gradient, y-intercept and equation of a linear function graph

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Gradient, y-intercept and equation of a linear function graph

Total questions: 26

Worksheet time: 13mins

Name

Class

Date

From left to right, a line going upwards has a ______ gradient.

positive

negative

zero

undefined

From left to right, a line going downwards has a ______ gradient.

negative

positive

zero

undefined

Find the gradient of the line that rises 3 units, runs 4 units and slopes up from left to right.

3/4

4/3

-3/4

-4/3

Find the gradient of the following straight line: The line rises 5 units and runs 4 units. The line slopes down from left to right.

5/4

4/5

-5/4

-4/5

For the graph of the function y = 2x + 4, identify the value of m and c, and use the graph to find the gradient and y-intercept. Fill in the blanks:

m = 2, c = 4, gradient = 2, y-intercept = 4

m = 4, c = 2, gradient = 4, y-intercept = 2

m = 2, c = 0, gradient = 2, y-intercept = 0

m = 0, c = 4, gradient = 0, y-intercept = 4

For the graph of the function y = 3x - 2, identify the value of m and c, and use the graph to find the gradient and y-intercept. Fill in the blanks:

m = 3, c = -2, gradient = 3, y-intercept = -2

m = -2, c = 3, gradient = -2, y-intercept = 3

m = 2, c = -3, gradient = 2, y-intercept = -3

m = -3, c = 2, gradient = -3, y-intercept = 2

For the graph of the function y = -2x + 1, identify the value of m and c, and use the graph to find the gradient and y-intercept. Fill in the blanks:

m = -2, c = 1, gradient = -2, y-intercept = 1

m = 2, c = -1, gradient = 2, y-intercept = -1

m = 1, c = -2, gradient = 1, y-intercept = -2

m = -1, c = 2, gradient = -1, y-intercept = 2

For the graph of the function y = -x - 2, identify the value of m and c, and use the graph to find the gradient and y-intercept. Fill in the blanks:

m = -1, c = -2, gradient = -1, y-intercept = -2

m = 1, c = 2, gradient = 1, y-intercept = 2

m = 2, c = -1, gradient = 2, y-intercept = -1

m = -2, c = 1, gradient = -2, y-intercept = 1

Write down the gradient and y-intercept of the graph of y = 3x + 2.

gradient = 3 y-intercept = 2

gradient = 2 y-intercept = 3

gradient = -3 y-intercept = 2

gradient = 3 y-intercept = -2

10.

Write down the gradient and y-intercept of the graph of y = x - 3.

gradient = 1 y-intercept = -3

gradient = -1 y-intercept = 3

gradient = 3 y-intercept = -1

gradient = 0 y-intercept = -3

11.

Write down the gradient and y-intercept of the graph of y = 2 - 3x

gradient = -3 y-intercept = 2

gradient = 2 y-intercept = -3

gradient = 3 y-intercept = 2

gradient = -2 y-intercept = 3

12.

Write down the gradient and y-intercept of the graph of 2y = 4x + 8

gradient = 2 y-intercept = 4

gradient = 4 y-intercept = 2

gradient = -2 y-intercept = -4

gradient = 1 y-intercept = 2

13.

Write down the equation of the function with given gradient = 2 and y-intercept = -1

y = 2x - 1

y = 2x + 1

y = -2x - 1

y = -2x + 1

14.

Write down the equation of the function with given gradient and y-intercept. Gradient = -3; y-intercept = 2

y = -3x + 2

y = 3x + 2

y = -3x - 2

y = 3x - 2

15.

Gradient of a horizontal line is _______.

Infinity

-1

16.

Gradient of a vertical line is _______.

undefined

zero

one

infinity

17.

From each of the linear functions below, state the gradient and the y-intercept. (b) y = -1.2x - 5

Gradient = -1.2, y-intercept = -5

Gradient = 1.2, y-intercept = 5

Gradient = -5, y-intercept = -1.2

Gradient = 5, y-intercept = 1.2

18.

Given the following gradients and y-intercepts, state the linear functions. (a) Gradient = 2; y-intercept = -3/4

y = 2x - 3/4

y = -2x - 3/4

y = 2x + 3/4

y = -2x + 3/4

19.

Given the following gradients and y-intercepts, state the linear functions. (b) Gradient = -6; y-intercept = 0

y = -6x

y = 6x

y = -6x + 1

y = 6x + 1

20.

A, B and C are three points with coordinates (3, 2), (7, 7) and (9, 2) respectively. Refer to the diagram. (a) Calculate the gradient of the line AB.

5/4

2/3

4/5

3/2

21.

A, B and C are three points with coordinates (3, 2), (7, 7) and (9, 2) respectively. Refer to the diagram. (b) Calculate the gradient of the line BC.

-5/2

5/2

2/5

22.

A, B and C are three points with coordinates (3, 2), (7, 7) and (9, 2) respectively. Refer to the diagram. (c) State the gradient of the line AC.

-1

23.

A, B and C are three points with coordinates (3, 2), (7, 7) and (9, 2) respectively. Calculate the area of triangle ABC.

15 units^2

10 units^2

20 $units^2$

12 units^2

24.

Using the graph above, determine the gradient of the line.

-1/2

1/2

-2

25.

Using the graph above, state the y-intercept of the line.

-1

26.

Using the graph above, state the equation of the linear function above.

y = -1/2x - 1

y = 2x + 1

y = 1/2x + 1

y = -2x - 1

100 %

Gradient, y-intercept and equation of a linear function graph

Total questions: 26

Worksheet time: 13mins

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