Question

what is the slope of this line? (0, 0) (5, -25) 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 $(0,0)$ and $(5,- 25)$. Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(5,-25)$.

Step3: Substitute into formula

$m=\frac{-25 - 0}{5 - 0}=\frac{-25}{5}=- 5$.

Answer:

$-5$