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Calculate the Gradient of a Line

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

'Calculate the Gradient of a Line' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Use Linear Equations (Two Variables) and Gradients

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

In this activity, we will be working out the gradient of a line on a coordinate grid.


There is just one important rule to remember. 

Here it is!


The gradient of a line = y-step ÷ x-step



Find the gradient of the red line.


gradient of a line on a grid



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


find the gradient of a line


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

The horizontal part of the step (x-step) = 2


Gradient of line = y-step ÷ x-step = 4 ÷ 2 = 2


Want a bit more help with this before you begin? Why not watch this short video?


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