Calculate the Gradient of a Line

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

Key stage: KS 3

Curriculum topic: Algebra

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

Difficulty level:

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Worksheet Overview

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

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

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

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

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Preview activity

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