Question

what is the slope of this line? simplify your answer completely. slope = - \frac{?}{} slope: \frac{rise}{run}

Explanation:

Step1: Identify two points on the line

The line passes through (0, 2) and (1, - 2).

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(1, - 2)$. Then $m=\frac{-2 - 2}{1-0}$.

Step3: Calculate the slope

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

Answer:

$4$