Which statement best explains if the graph correctly represents the proportional relationship y = 3.5x? A graph of a coordinate plane is shown. Points are graphed at 1 and 3.5 and 2 and 7. The points are joined by a line. It does, the points shown on the line would be part of y = 3.5x. It does not, proportions cannot be represented on a graph. It does not, the points shown on the line would not be part of y = 3.5x. It does, all proportions can be shown on the graph of this line.

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

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

[tex]y=3.5x[/tex]

The slope is equal to [tex]m=3.5[/tex] ------> 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 [tex]x=1[/tex]

[tex]y=3.5*1=3.5[/tex] -----> is correct

For [tex]x=2[/tex]

[tex]y=3.5*2=7[/tex] -----> is correct

laurelandrea777 laurelandrea777 · Answer 2 · 2022-08-08T19:58:24+02:00

laurelandrea777 laurelandrea777

08-08-2022

Answer:

The answer is A.

It does, the points shown on the line would be part of y =3.5x.

Step-by-step explanation:

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