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. prism vs. pyramid what is the slope of the line? -3 -1/3 1/3 3

Explanation:

Step1: Identify two points on the line

From the graph, the line passes through the origin \((0,0)\) and another point, say \((1,3)\) (or we can check the grid: when pyramid volume (x - axis) is 1, prism volume (y - axis) is 3; when pyramid volume is 2, prism volume is 6, etc.).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Using \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1,3)\), we substitute into the formula: \(m=\frac{3 - 0}{1 - 0}=\frac{3}{1}=3\).

Answer:

3