Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let the two points be $(-4, - 1)$ and $(4,-5)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-4,y_1 = - 1,x_2 = 4,y_2=-5$. Then $m=\frac{-5-(-1)}{4-(-4)}$.

Step3: Simplify the expression

$m=\frac{-5 + 1}{4 + 4}=\frac{-4}{8}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$