Determine whether the equation represents a direct variation. If it does, find the constant of variation.
2y=3x-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.