Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

Let the two points be $(-1,3)$ and $(3, - 3)$.

Step2: Use slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-1,y_1 = 3,x_2=3,y_2=-3$. Then $m=\frac{-3 - 3}{3-(-1)}$.

Step3: Simplify the expression

$m=\frac{-6}{4}=-\frac{3}{2}$.

Answer:

$-\frac{3}{2}$