# Is y/6 = x a direct or inverse variation?

$\frac{y}{6} = x$
can be written as $y = 6 x$
For any given value of $y$ if you increase y by a factor of $k$ then $x$ must be increased by a factor of $k$
That is, for example, given that $y = 6 \rightarrow x = 1$
then $y = 6 \cdot 3 \left(= 18\right) \rightarrow x = 1 \cdot 3 \left(= 3\right)$
$\frac{y}{6} = x$ is a direct variation