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

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{10-4}{-4-(-6)}$

$m=\dfrac{6}{-4+6}$

$m=\dfrac{6}{2}$

$m=3$

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