Question

Is `-8y = x + 2` a direct variation?

Answer 1

`-8y=x+2` is not a direct variation.

This could be rewritten as
`y = (-1/8)x -(1/4)`

But to be a direct variation `y` must be equal to a direct multiple of `x`.
That is to be a direct variation, there must be a constant, `m`, such that
`y = m*x`

The additional term `-(1/4)` prevents this from being a direct variation.