To solve the problem we must know about the slope of a line.
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
The slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].
Given to us
Points can be written as,
[tex]y_2 = 0\\y_1 = 5\\x_2=7\\x_1 = -8[/tex]
We know that the slope of a line whose two points are given is written as,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
Substituting the value, we get,
[tex]m = \dfrac{(0-5)}{[7-(-8)]}\\\\m = \dfrac{(0-5)}{[7+8]}\\\\m = \dfrac{(-5)}{[15]}\\\\m= \dfrac{-1}{3}[/tex]
Hence, the slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].
Learn more about Slope:
https://brainly.com/question/3605446
