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

y = 3 x equation represents a proportional relationship.

Option B

Step-by-step explanation:

A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin

case A)

A linear equation that not passes through the origin and so not proportional variation

case B) y= 3 x

Is a linear equation but passes through the origin and so proportional variation

case C) y = - 3x+2

A linear equation that not passes through the origin and so not proportional variation

case D)  

An inverse variation equation but not passes through the origin and so not proportional variation.

From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.

b

step-by-step explanation: