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 between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(3,-1)$.

Step3: Substitute values into formula

$m=\frac{-1 - 4}{3-0}=\frac{-5}{3}$.

Answer:

$-\frac{5}{3}$