Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let the two points be $(-2,1)$ and $(1, - 1)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-2,y_1 = 1,x_2=1,y_2=-1$. Then $m=\frac{-1 - 1}{1-(-2)}$.

Step3: Calculate the value

$m=\frac{-2}{3}=-\frac{2}{3}$.

Answer:

$-\frac{2}{3}$