Answer
slope = $\frac{29}{98}$
Work Step by Step
Convert each measurement to inches by using the fact that 1 ft = 12 inches.
8 ft 2 inches = $8(12)+2=98$ inches
2 ft 5 inches = $2(12)+5=29$ inches
Solve for the slope by dividing the rise (or height) by the run (horizontal distance).
slope = $\dfrac{29\text{ inches}}{98 \text{ inches}}=\dfrac{29}{98}\approx 0.2959$