1. does the equation represent a direct variation? if ao find the constant of variation

5x=-3y

Any help???

y=-5/3 * x

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

In the given equation, rearrange it to the form of y = kx:

5x = -3y

Divide both sides of the equation by -3:

(5x)/-3 = y

Simplify:

y = (-5/3)x

Comparing this equation to the form y = kx, we can see that the constant of variation is -5/3.

Therefore, the equation represents a direct variation, and the constant of variation is -5/3.