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The gradient of a line is its steepness.

You can find it by using the coordinates of two points.

If the first point has coordinates (xa, ya) and the second has coordinates (xb, yb), use the formula below to find the value of the gradient:

 

Let's have a look at an example.

Find the gradient of a line passing through (1, 3) and (4, 9).

The formula above means that we need to subtract y-coordinates of both points, subtract the x-coordinates and divide the former by the latter.

You can do this in stages or in one go using a calculator.

 

In stages:

9 - 3 = 6

4 - 1 = 3

6 ÷ 3 = 2

The gradient is 2.

 

Using a calculator:

This is what you need to put into your calculator:

The answer is 2.

10 questions