Question

Find the gradient of the line segment between the points (7,2) and (10,-5).

Give your answer in its simplest form.​

Answer 1

Given:

Two end points of a line segment are (7,2) and (10,-5).

To find:

The gradient of the given line segment.

Solution:

We know that, gradient of a line segment is the slope of that line segment.

The end points of the line segment are (7,2) and (10,-5), so slope or gradient of the line segment is

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

`m=(-5-2)/(10-7)`

`m=(-7)/(3)`

Therefore, the gradient of the given line segment is
`(-7)/(3)`.