Which statement best explains if the graph correctly represents the proportional relationship y = 3.5x?
Answer:
It does, the points shown on the line would be part of \(y=3.5x\)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
\(y=3.5x\)
The slope is equal to \(m=3.5\) ------> is a positive slope
The line passes through the origin
therefore
This linear equation represent a proportional variation
Verify the values of the points of the graph with the equation
For \(x=1\)
\(y=3.5*1=3.5\) -----> is correct
For \(x=2\)
\(y=3.5*2=7\) -----> is correct