Which statement best explains if the graph correctly represents the proportional relationship y = 3.5x? It does not, the points shown on the line would not be part of y = 3.5x. It does not, proportions cannot be represented on a graph. It does, the points shown on the line would be part of y = 3.5x. It does, all proportions can be shown on the graph of this line.

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scme1702 scme1702 · Answer 1 · 2017-02-01T13:55:22-05:00

The graph would show this relationship if:
1) It is a straight line
2) It passes through the origin
3) It has a slope of 3.5

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calculista calculista · Answer 2 · 2019-01-17T13:03:06-05:00

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