Question

Which equation represents a proportional relationship?

A. y=−3x+2

B. y=12x

C. y = 3x

D. y=2(x+13)

Answer 1

As written here, both choices B and C represent proportional relationships:

... B. y = 12x

... C. y = 3x

_____

One key to a proportional relationship is that when one variable is zero, so is the other. This will not be the case for selections A and D.

Answer 2

Answer:

$y=12x$

$y=3x$

Step-by-step explanation:

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 of the line m, and the line passes trough the origin

so

case A) $y=-3x+2$  

Is a linear equation but does not passes trough the origin

case B) $y=12x$

Is a linear equation and passes trough the origin-----> represent a proportional relationship

case C) $y=3x$  

Is a linear equation and passes trough the origin-----> represent a proportional relationship

case D) $y=2(x+13)$

Is a linear equation but does not passes trough the origin