Answer:
Slope, [tex]m=\dfrac{1}{5}[/tex]
Step-by-step explanation:
It is given that,
A road rises 20 feet for every 100 feet in horizontal distance.
Rise (vertical distance) = 20 feet
Run (horizontal distance) = 100 feet
Slope of the road is given by the ratio of rise to the run. It can be calculated as :
[tex]m=\dfrac{20}{100}\\\\=\dfrac{1}{5}[/tex]
So, the slope is [tex]\dfrac{1}{5}[/tex].