Question

use the example below to help you find the slope of the images below. the slope, pitch, and grade are all considered as slope. slope = $\frac{y_2 - y_1}{x_2 - x_1}$ = $\frac{1}{3}$ (4,3) (1,2) rise or $delta$y 3 - 2 = 1 run or $delta$x 4 - 1 = 3 be sure to reduce. 1. slope of a ramp 2. pitch of a roof 3. grade of a road slope = pitch = |grade =

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{\text{Rise}}{\text{Run}}$.

Step2: Calculate slope of ramp

For the ramp, if we assume the rise is 1 and the run is 12, then $m=\frac{1}{12}$.

Step3: Calculate pitch of roof

For the roof, if the rise is 3 and the run is 12, then $m = \frac{3}{12}=\frac{1}{4}$.

Step4: Calculate grade of road

For the road, if the rise is 5 and the run is 100, then $m=\frac{5}{100}=\frac{1}{20}$.

Answer:

1. $\frac{1}{12}$
2. $\frac{1}{4}$
3. $\frac{1}{20}$