Question

what is the slope of this line? (0, 4) (4, -1)

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the two points

We have the points $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(4, - 1)$.

Step3: Substitute values into formula

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

Answer:

$-\frac{5}{4}$