Question

what is the slope of this line? (-5, 2) (5, 0)

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 $(x_1,y_1)=(-5,2)$ and $(x_2,y_2)=(5,0)$.

Step3: Substitute values into formula

$m=\frac{0 - 2}{5-(-5)}=\frac{-2}{5 + 5}$.

Step4: Simplify the fraction

$m=\frac{-2}{10}=-\frac{1}{5}$.

Answer:

$-\frac{1}{5}$