Answer:
[tex]-\dfrac{1}{60}[/tex]
Step-by-step explanation:
[tex]\text{Rate }=-\dfrac{1}{5} in/foot [/tex]
It is negative because slopes down.
Slope is dimensionless quantity.
So, change the rate in/foot dimensionless.
As we know, 1 foot = 12 in
[tex]\text{Slope }=-\dfrac{1\text{ in}}{5\text{ foot}}\times \dfrac{1\text{ foot}}{12\text{ in}}[/tex]
cancel in and foot from top and bottom
[tex]\text{Slope }=-\dfrac{1}{5}\times \dfrac{1}{12}[/tex]
[tex]\text{Slope }=-\dfrac{1}{5\times 12}[/tex]
[tex]\text{Slope }=-\dfrac{1}{60}[/tex]
Hence, the slope is [tex]-\dfrac{1}{60}[/tex]
