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

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
Define points: $(x_1,y_1)=(0,5)$, $(x_2,y_2)=(5,1)$

Step2: Substitute values into formula

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

Step3: Calculate numerator and denominator

$m = \frac{-4}{5}$

Answer:

$\frac{-4}{5}$