Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points on line

Let the two points be $(x_1,y_1)$ and $(x_2,y_2)$. Suppose we choose $(-2,-2)$ and $(2,-5)$.

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1=-2,y_1 = - 2,x_2=2,y_2=-5$ into it: $m=\frac{-5-(-2)}{2-(-2)}$.

Step3: Simplify the expression

$m=\frac{-5 + 2}{2 + 2}=\frac{-3}{4}=-\frac{3}{4}$.

Answer:

$-\frac{3}{4}$