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

Question

2x+3y=0

Answer 1

To determine if the equation represents a direct variation, we need to rewrite it in the form y = kx, where k is the constant of variation.

2x + 3y = 0
3y = -2x
y = -2/3x

Therefore, the equation represents a direct variation with a constant of variation k = -2/3.