Question

what is the slope of this line? (0, 5) (5, 1) 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

Let $(x_1,y_1)=(0,5)$ and $(x_2,y_2)=(5,1)$.

Step3: Substitute values

$m=\frac{1 - 5}{5 - 0}=\frac{-4}{5}$.

Answer:

$-\frac{4}{5}$