Question

an architect is designing a ramp for delivery trucks. a drawing of the ramp is shown on the grid below. what is the slope of the ramp? a. $\frac{-7}{2}$ b. $\frac{-2}{7}$ c. $\frac{2}{7}$ d. $\frac{7}{2}$

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 the two - points

Let $(x_1,y_1)=(1,2)$ and $(x_2,y_2)=(8,4)$.

Step3: Substitute values into the formula

$m=\frac{4 - 2}{8 - 1}=\frac{2}{7}$

Answer:

C. $\frac{2}{7}$