Question

what is the slope of this line? (0, 20) (20, - 30)

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(0,20)$ and $(20,- 30)$. Let $(x_1,y_1)=(0,20)$ and $(x_2,y_2)=(20,-30)$.

Step3: Substitute values

Substitute into the slope - formula: $m=\frac{-30 - 20}{20-0}$.

Step4: Simplify the expression

$m=\frac{-50}{20}=-\frac{5}{2}$.

Answer:

$-\frac{5}{2}$