Determine whether the equation represents a direct variation. If it​ does, find the constant of variation.

Question

2y=3x-1

Answer 1

In order to determine whether the equation represents a direct variation, we need to check if the equation is in the form y = kx, where k is the constant of variation.

The given equation is 2y = 3x - 1.

To put this in the desired form, we need to isolate y on one side of the equation.

Divide both sides of the equation by 2:

2y/2 = (3x - 1)/2.

Simplify:

y = (3/2)x - 1/2.

This equation is not in the form y = kx. Therefore, the given equation does not represent a direct variation.