Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Select two points on the line

Let's take the points $(-4,5)$ and $(0, - 5)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-4,y_1 = 5,x_2=0,y_2=-5$. Then $m=\frac{-5 - 5}{0-(-4)}=\frac{-10}{4}=-\frac{5}{2}$.

Answer:

$-\frac{5}{2}$