Question

Find the gradient of the line segment between the points (-2,3) and (-4,-2).

Give your answer in its simplest form.

Answer 1

Given:

The two points are (-2,3) and (-4,-2).

To find:

The gradient of the line segment between the given points.

Solution:

The gradient is also known as slope.

The slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is

`m=(-2-3)/(-4-(-2))`

`m=(-5)/(-4+2)`

`m=(-5)/(-2)`

`m=(5)/(2)`

Therefore, the gradient of the given line segment is
`m=(5)/(2)`.