What is the slope of the line?
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
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Prism Volume (cubic units)
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+
1
+
+
2
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4
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5
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7
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8
9
10

The slope of the line must be 3

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

The volume of a rectangular prism is equal to

----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

-----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

Find the relationship between the volume of  a rectangular prism and the volume of a square pyramid

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

Choosing the points (2,6) and (3,9)

substitute

----> is correct