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? -3 -1/3 1/3 3 prism vs. pyramid prism volume (cubic units)

Explanation:

Step1: Recall slope formula

The slope formula for a line is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Select two points

Let's take $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(2,6)$ from the graph.

Step3: Calculate slope

$m=\frac{6 - 3}{2 - 1}=\frac{3}{1}=3$

Answer:

3