Question

the graph shows the relationship between the volume of a rectangular prism and the volume of a square - pyramid with an identical base and height. what is the slope of the line? prism vs. pyramid -3 3 -1/3 1/3 prism volume (cubic units) pyramid volume (cubic units)

Explanation:

Step1: Select two points on the line

Let's take the points (0,0) and (3,9).

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2=3,y_2 = 9$. Then $m=\frac{9 - 0}{3 - 0}=\frac{9}{3}=3$.

Answer:

3