# Which equation represents a proportional relationship? a = y = -3x + 2 b = y = -2x +4 c = y = 4x d = y = x + 7

Step-by-step explanation:

The equation of a proportional relationship:

a - the constant of proportionality.

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 or

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)

Is a linear equation but does not passes trough the origin

case B)

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

case C)

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

case D)

Is a linear equation but does not passes trough the origin

A. y = 3x/4

Step-by-step explanation:

a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

a

Step-by-step explanation:

y=3x

thus, a proportional relationship equation is y=kx .Where k is constant

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.

B and D

Step-by-step explanation:

A proportional relationship has NO constant term. Thus, we eliminate Answers A and C.

Answers B and D represent proportional relationships.