Does the equation y = x/2
represent a proportional relationship?
Yes, because the coefficient of x is positive
No, because it is not in the form y=kx
No, because its graph does not pass through the origin
Yes, because its graph is a line that passes through the origin
QUICK PLEASE!! TY!

Respuesta :

Answer:

Yes, but none of the answer choices exactly describe the proportional relationship. The closest choice is A.

Step-by-step explanation:

The form of the equation of a proportional relation is y = kx, where k is the coefficient.

In the given case y =1/2x,  where k = 1/2, so it represents proportional relationship.

Answer choices:

A. Yes, because the coefficient of x is positive

  • - it is yes, but the coefficient can also be negative

B. No, because it is not in the form y=kx

  • - it is no, as it is in the for of y = kx

C. No, because its graph does not pass through the origin

  • - no, it doesn't matter if the graph passes through the origin or not

D. Yes, because its graph is a line that passes through the origin

  • - no as it is not necessary the graph to pass through the origin