Question

Find the gradient of the line segment between the points (1,-2) and (-2,10).​

Answer 1

Given:

A line segment is between the points (1,-2) and (-2,10).​

To find:

The gradient of the given line segment.

Solution:

We know that gradient of the given line segment means slope of the line segment.

The line segment between the points (1,-2) and (-2,10).​ So, slope of the line segment is

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

`m=(10-(-2))/(-2-1)`

`m=(10+2)/(-3)`

`m=(12)/(-3)`

`m=-4`

Therefore, the gradient of the given line segment is -4.