Is 5x - 3y equals 0 a direct variation?

No

To determine if the equation 5x - 3y = 0 represents a direct variation, we need to check if the equation can be written in the form of y = kx, where k is a constant.

To do this, let's rearrange the equation 5x - 3y = 0:

5x = 3y

Now, divide both sides of the equation by 3:

(5/3)x = y

We can see that the equation can be written as y = (5/3)x, which is in the form of y = kx.

Therefore, the equation 5x - 3y = 0 represents a direct variation where y is directly proportional to x with a constant of k = 5/3.

yes

y = -(5/3) x

I believe Damon meant to say

y = (5/3)x