Question

Assume you are standing under a sloped roof with west being the positive direction. The
height of the sloped roof above the place where you stand is 20 feet. If you move 4 feet
west the height is 11 feet. What is the slope?

Answer 1

Answer:

The slope is -9/4 or -2.25.

Step-by-step explanation:

To find the slope (S) we need to use the following equation:

$S = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Where:

y₂: is the final height = 11 feet

y₁: is the initial heoght = 20 feet

x₂: is the final position is the horizontal direction = 4 feet

x₁: is the initial position = 0 (origin)

$S = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 20}{4} = -\frac{9}{4} = -2.25$            

Therefore, the slope is -9/4 or -2.25.

I hope it helps you!