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

8

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=(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=(8-(-24))/(0-(-4))=(32)/(4)=8`