Question

What is the slope of the line that passes through the points (-6, 8)(−6,8) and (-16, 33) ?(−16,33)? Write your answer in simplest form.

Answer 1

Given:

A line passes through the points (-6, 8) and (-16, 33).

To find:

The slope of the line.

Solution:

If a line passes through two points, then the slope of the line is

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

The line passes through the points (-6, 8) and (-16, 33). Using the above formula, the slope of the line is

$m=\dfrac{33-8}{-16-(-6)}$

$m=\dfrac{25}{-16+6}$

$m=\dfrac{25}{-10}$

$m=-2.5$

Therefore, the slope of the line is -2.5.