What is the slope of the line that passes through the points (4.2) and (-16, -10)?
Write your answer in simplest form.

Respuesta :

Given:

A line passes through the points (4,2) and (-16, -10).

To find:

The slope of the line.

Solution:

Slope Formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

A line passes through the points (4,2) and (-16, -10). So, slope of the line is

[tex]m=\dfrac{-10-2}{-16-4}[/tex]

[tex]m=\dfrac{-12}{-20}[/tex]

[tex]m=\dfrac{3}{5}[/tex]

Therefore, the slope of the line is [tex]\dfrac{3}{5}[/tex].