Answer
The constant of variation is $18$.
The inverse variation equation $y=\frac{18}{x}$.
Work Step by Step
$y=\frac{k}{x}$
$y=6;x=3$
$6=\frac{k}{3}$
$6\times3=\frac{k}{3}\times3$
$k=18$
$y=\frac{18}{x}$
The constant of variation is $18$.
The inverse variation equation $y=\frac{18}{x}$.