Question

Which equation represents a proportional relationship? y=−2x y=32x y = 4x + 3 y=2(x+1)

Answer 1

Answer:

Equation 1: $y = -2x$  

Equation 2: $y = 32x$        

Step-by-step explanation:

We are given equations in the question.

A proportionality relation can be represented in the form:

$y \propto x\\y = kx\\\text{where k is the constant of proportionality}$

Thus, equation of the form, $y =kx$ represents a proportional relationship.

Thus, $y = -2x, y = 32x$ are the equations that represent proportional relationship.

Equations, $y = 4x + 3, y = 2(x+1) = 3x + 2$ do not represent proportionality relationship.

Answer 2

Answer:

Option B is correct.

y =32x represents a proportional relationship.

Step-by-step explanation:

If two quantities are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other i.e,

y = |k| y where |k| is constant proportionality.

By definition :

y =32x  where k =32 is constant ,  represents a proportional relationship.