Given:
Roof of the home rised 8 feet for every horizontal change of 24 feet.
The slope is calculated as,
[tex]\begin{gathered} \text{Slope}=\frac{\text{Vertical change}}{\text{Horizontal change}} \\ =\frac{8}{24} \\ =\frac{1}{3} \end{gathered}[/tex]Answer: slope is 1/3.