Question

Does the equation `2x - 5y = 0` represent a direct variation and if so, identify the constant of variation?

Answer 1

Yes it does

Explanation:

You can rewrite the equation by adding `5y` to both sides:

`2x-cancel(5y)+cancel(5y)=5y->2x=5y`

If we divide both sides by `5` we get `y=2/5x`,
So `2/5` is the constant of variation.

A direct variation means that if `x=0` then `y=0`
This condition has been met.