Question

Find the gradient of the line segment between the points (-6,4) and (-4,10).

Answer 1

Given:

Two points are (-6,4) and (-4,10).

To find:

The gradient of the line segment between the given points.

Solution:

Gradient (slope) of the line segment between the given points is

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

Two endpoints of the line segment are (-6,4) and (-4,10). So, the gradient is

`m=(10-4)/(-4-(-6))`

`m=(6)/(-4+6)`

`m=(6)/(2)`

`m=3`

Therefore, the gradient of the line segment between the points (-6,4) and (-4,10) is 3.