Question

what is the slope of this line? (0, 6) (4, 2) 1 -1 0 undefined

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the two points

The two points are $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(4,2)$.

Step3: Substitute values into formula

$m=\frac{2 - 6}{4 - 0}=\frac{-4}{4}=- 1$.

Answer:

-1