Question

Is `3x=y` a direct variation and if so, how do you find the constant?

Answer 1

Yes it is a direct variation, because both variables are only to the first power, and setting either `xory` to `0` will set the other one to `0` as well.

Explanation:

In graph form this will be a straight line through the origin (0,0).
We can rewrite: `y=1/3x`

And there we have our constant factor. For every increase of `x` by one unit, `y` will increase by `1//3` unit.
graph{x/3 [-10, 10, -5, 5]}