Answer
$y = \frac{32}{x}$ or $xy = 32$
Work Step by Step
Our equation for an inverse variation is $y = \frac{k}{x}$ or $xy = k$. We will use the second form of the equation to solve for k.
From our ordered pair, $(-8, -4)$ we know that $x = -8$ and $y = -4$.
$-8\times-4 = k$
$ 32 = k$
$k = 32$
Therefore, our equation for the inverse variation is $y = \frac{32}{x}$ or $xy = 32$
