Question

what is the slope of this line?

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign given points

Let $(x_1,y_1)=(-2,2)$ and $(x_2,y_2)=(3,-3)$

Step3: Substitute into formula

$m=\frac{-3-2}{3-(-2)}=\frac{-5}{5}$

Step4: Simplify the fraction

$m=-1$

Answer:

$-1$