Question

Find the slope of the line that passes through the following points.
Write "undefined" if there is no slope. (-4, -24) (0, 8)
Write your answer as a fraction if needed.

Answer 1

Answer:

8

Step-by-step explanation:

Given a line passing through two points of coordinates

$(x_1,y_1)$

and

$(x_2,y_2)$

The slope of the line is given by

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

Which represents the rate of change of the y-variable with respect to the change in the x variable.

In this problem, the line passes through the points:

(-4,-24)

(0,8)

Therefore, the slope of the line is:

$m=\frac{8-(-24)}{0-(-4)}=\frac{32}{4}=8$