Question

1. what is the slope (rate of change) of the line below? a. -\frac{1}{2} b. -2 c. 2 d. 4 e. none of the above

Explanation:

Step1: Select two points on the line

From the graph, we can take the points $(0, 2)$ and $(4,0)$.

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 $(x_2,y_2)=(4,0)$. Then $m=\frac{0 - 2}{4-0}$.

Step3: Calculate the slope

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

Answer:

a. $-\frac{1}{2}$