Question

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

Explanation:

Step1: Identify 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: Select two points

We have the points $(-5,1)$ and $(0, - 1)$. Let $(x_1,y_1)=(-5,1)$ and $(x_2,y_2)=(0,-1)$.

Step3: Substitute values

$m=\frac{-1 - 1}{0-(-5)}=\frac{-2}{5}$.

Answer:

$-\frac{2}{5}$