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Gradient of a Line

In this worksheet, students work out the gradient of a line on coordinate axes.

'Gradient of a Line' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Use y = mx + c to Identify Parallel and Perpendicular Lines

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

 

Gradient of line  = y-step
x-step

 

Example

Find the gradient of the red line.

 

Answer

First we must find points with whole number coordinates on the red line in order to build a "step".

 

 

The line slopes from top left to bottom right so the gradient will be negative.

The vertical part of the step (y-step) = -4

The horizontal part of the step (x-step) = 3

 

Gradient of line  = y-step = -4
x-step 3

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

  • Question 1

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2
  • Question 2

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
-1/2
  • Question 3

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2/3
  • Question 4

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
-1
  • Question 5

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/3
  • Question 6

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2/3
  • Question 7

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
-2
  • Question 8

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
-4
  • Question 9

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/4
  • Question 10

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
-1/4
---- OR ----

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