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s2008m [1.1K]
3 years ago
9

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.

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

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


sveticcg [70]3 years ago
5 0
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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