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

The slope is -9/4 or -2.25.

Explanation:

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

`S = (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 = (y_(2) - y_(1))/(x_(2) - x_(1)) = (11 - 20)/(4) = -(9)/(4) = -2.25`

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

I hope it helps you!