Question

The graph shows the distance a car traveled, y, in x hours: A coordinate plane graph is shown. The x-axis is labeled time in hours, and the y-axis is labeled distance in miles. The line passes through the points 1 comma 35, 2 comma 70, and 3 comma 105. What is the rise-over-run value for the relationship represented in the graph? (4 points)

Answer 1

From the graph,

`\begin{gathered} \text{Rise}=\text{Distance(mi)}=y-\text{values} \\ \text{Run}=\text{Time(hr)}=x-\text{values} \end{gathered}`

To obtain the rise-over-run value, we will pick any two points on the graph and solve for the slope.

`\begin{gathered} (x_1,y_1)=(1,35) \\ (x_2,y_2)=(2,70) \end{gathered}`

The formula for the slope(m) between two points is,

`m=(y_2-y_1)/(x_2-x_1)`

Therefore,

`\begin{gathered} m=(70-35)/(2-1)=(35)/(1)=35 \\ \therefore m=35 \end{gathered}`

Hence, the rise-over-run value is 35 (OPTION 3).