# Is 3x-3y=0 an inverse variation?

May 30, 2015

To be an inverse variation and equation must be or must be transformable into
$x y = c$ (or equivalently $y = \frac{c}{x}$) for some constant $c$

$3 x - 3 y = 0$

$\rightarrow 3 y = 3 x$

$\rightarrow y = \left(1\right) x$

which is not and inverse variation.

(It is, in fact, a direct variation).