Question

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 comma 3.5 and 2 comma 7. The points are joined by a line.

No, the points shown on the line would not be part of y = 3.5x
No, proportions cannot be represented on a graph
Yes, the points shown on the line would be part of y = 3.5x
Yes, all proportions can be shown on the graph of this line

Answer 1

I think its A... It seems like the only reasonable answer :/ help!!! @Michele_Laino ??

Answer 2

@barreraA @jigglypuff314 @AlexandervonHumboldt2

Answer 3

I think its definitely

Answer 4

one of the no's

Answer 5

the graph can be represented by this equation:
\(y=mx\)
where \(m\) is the slope of such line.
Now the line passes st points \((1,3.5)\), and \((2,7)\), so the slope, is:
\[m = \frac{{7 - 3.5}}{{2 - 1}} = ...?\]

Answer 6

oops.. passes at* points...

Answer 7

yeah i know the formula so it would be 3.5 over 1??

Answer 8

both of such points belong to that line

Answer 9

yes!

Answer 10

so then what??

Answer 11

would the answer be a or c?

Answer 12

hint:
I consider the coordinates of the first point \((1,3.5)\), then I write the ratio \(y/x\), so I get:
\(y/x=3.5/1=3.5\)
then I write the same ratio for point \((2,7)\), so I get:
\(y/x=7/2=3.5\)

Answer 13

and the slope of the line, is \(y/x=3.5\), so I think that a) is a wrong option

Answer 14

oh so c, yes! right?

Answer 15

that's right!

Answer 16

thanks!! could you help with a couple more please??

Answer 17

ok!