Question

what is the slope of this line? (-2,6) (2,-2) -2 -\frac{1}{2} 0 undefined

Explanation:

Step1: Recall slope - formula

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

Step2: Identify the points

Let $(x_1,y_1)=(-2,6)$ and $(x_2,y_2)=(2,-2)$.

Step3: Substitute values into formula

$m=\frac{-2 - 6}{2-(-2)}=\frac{-8}{4}$.

Step4: Simplify the fraction

$m=-2$.

Answer:

-2