Question

what is the slope of this line? (-5, 2) (0, 0) simplify your answer and write it as a proper fraction.

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 two points

We have the points $(x_1,y_1)=(-5,2)$ and $(x_2,y_2)=(0,0)$.

Step3: Substitute values into formula

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

Answer:

$-\frac{2}{5}$