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 -\frac{1}{3} \frac{1}{3} 3

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can choose two points on the line. Let's take the points $(0,0)$ and $(1,3)$.

Step2: Substitute points into formula

Here, $x_1 = 0,y_1 = 0,x_2=1,y_2 = 3$. Then $m=\frac{3 - 0}{1 - 0}$.

Step3: Calculate the slope

$m=\frac{3}{1}=3$.

Answer:

3