Question

Is `3x-7y=1` a direct variation equation and if so, what is the constant of variation?

Answer 1

`3x-7y=1` is not a direct variation equation

Explanation:

A direct variation equation must be transformable into
`color(white)("XXX")y=mx` for some constant `m`

`3x-7x=1`
`color(white)("XXX")rArr y=3/7xcolor(red)(-1/7)`

The `(color(red)(-1/7))` "shifts" the value of `y` down (by `1/7`) preventing this from being a direct variation.