Question

What is the slope of a roof that rises 12 feet over a run of 28 feet?

Answer 1

slope = rise/run = 12/28 = 3/7

hence slope is 3/7 feet or 0.43 feet.

Answer 2

`(3)/(7)`

Explanation:

The slope can be defined as the rate of change in the y axis with respect to the x axis. Mathematically can be expressed as:

`m=(\Delta y)/(\Delta x)`

Where:

`m=Slope\\\Delta y=Rate\hspace{3}of\hspace{3}change\hspace{3}at\hspace{3}y\hspace{3}axis\\\Delta x=Rate\hspace{3}of\hspace{3}change\hspace{3}at\hspace{3}x\hspace{3}axis`

In this case:

`\Delta y=12ft\\\Delta x=28ft`

Therefore:

`m=(12ft)/(28ft)=(3)/(7)\approx0.43`