Question

Which equation represents a proportional relationship? y = 3x y=2(x+1/3) y=−3x+2 y=12x

Answer 1

two equations

y=3x

and y=12x

are proportional relation ship equations

Explanation:

proportion equations can be defined as

if we change x the y will change in same proportion

proportional relationship equation contain (0,0) points

if we put x=o

this will give us

y=0

if we put x=0

in y=12x

it will give

y=0

put if we put x=0 in

y=3x

it will give us

y=0

hence these two equation represent proportional relationship.

Answer 2

The equation y = 3x and y = 12x represents a proportional relationship.
Because in a proportional relationship, the graph should pass the 0,0 coordinate.
It means if you put x=0 to the equation, the result would be y=0. The graph will go in format of y=mx and if we put x = 0 in both equations we get y = 0
and in other two equations if you put x = 0 you will not get y = 0.