Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify 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:

$\frac{2}{5}$