Question

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

Explanation:

Step1: Recall slope - formula

The slope formula for 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

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

Answer:

$\frac{2}{5}$