Question

1. rebecca hiking

slope = \frac{rise}{run}=____
unit rate = ____ mi/h

Explanation:

Step1: Identify rise and run

The line passes through the origin $(0,0)$ and the point $(5, 10)$. The rise is the change in the $y$-co - ordinate and the run is the change in the $x$-co - ordinate. From $(0,0)$ to $(5,10)$, the rise $=10 - 0=10$ and the run $=5 - 0 = 5$.

Step2: Calculate the slope

Using the formula slope $=\frac{\text{rise}}{\text{run}}$, we substitute the values of rise and run. So, slope $=\frac{10}{5}=2$.

Step3: Determine the unit rate

The unit rate is the same as the slope in a distance - time graph. The unit rate represents the distance traveled per unit of time. Since the slope is 2, the unit rate is 2 mi/h.

Answer:

slope $=\frac{10}{5}$; unit rate $=2$