Question

question 7 of 11 (1 point) | question attempt: 1 of unlimited
distance traveled (feet)
number of revolutions
(a) how far does jim travel per revolution? 8 feet
(b) what is the slope of the graph? try again

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a linear - relationship like the one in the graph (distance vs number of revolutions), we can choose two points on the line. The line passes through the origin $(0,0)$ and another point, say $(2,16)$.

Step2: Substitute values into formula

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(2,16)$. Then $m=\frac{16 - 0}{2 - 0}=\frac{16}{2}=8$.

Answer:

8