Question

What is the slope of the line?

Answer 1

Answer:

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

$V_r_p=Bh$ ----> 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

$V_s_p=\frac{1}{3}Bh$ -----> 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

$V_s_p=\frac{1}{3}V_r_p$

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

$\frac{V_r_p}{V_s_p}=3$

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

$m=\frac{y2-y1}{x2-x1}$

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

substitute

$m=\frac{9-6}{3-2}=3$ ----> is correct