Given the coordinates of the endpoints of a line segment, we can use Pythagoras' Theorem to find its length.

A right-angled triangle is needed.

The x-part of the right-angled triangle will be the difference of the x-coordinates of each endpoint.

The y-part of the right-angled triangle will be the difference of the y-coordinates of each endpoint.

**Example**

Find the length of the line segment whose endpoints are at (-4, -3) and (2, 4)

**Answer**

The x-part is the difference between -4 and 2, which is is -4 - 2 = -6, so we use 6 as the distance.

The y-part is the difference between -3 and 4, which is is -3 - 4 = -7, so we use 7 as the distance.

This is shown in the diagram below, where the length of the line segment is marked as **d**.

Using **Pythagoras' Theorem****,** we get:

d^{2} = 6^{2} + 7^{2}

d^{2} = 36 + 49 = 85

d = √85 = **9.22**** units**