What is the slope of a roof that rises 12 feet over a run of 28 feet?
Answer:
\(\frac{3}{7}\)
Step-by-step 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:
\(m=\frac{\Delta y}{\Delta x}\)
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:
\(m=\frac{12ft}{28ft}=\frac{3}{7}\approx0.43\)