Q:

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.

Accepted Solution

A:
Answer:It does, the points shown on the line would be part of [tex]y=3.5x[/tex]Step-by-step explanation:see the attached figure to better understand the problem  we know thatA 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 originIn this problem we have[tex]y=3.5x[/tex]The slope is equal to [tex]m=3.5[/tex] ------> is a positive slopeThe line passes through the originthereforeThis linear equation represent a proportional variationVerify the values of the points of the graph with the equationFor [tex]x=1[/tex][tex]y=3.5*1=3.5[/tex] -----> is correctFor [tex]x=2[/tex][tex]y=3.5*2=7[/tex] -----> is correct