Answer
$y = \frac{-51}{x}$ or $xy = -51$
Work Step by Step
Our equation for an inverse variation is $y = \frac{k}{x}$. Therefore, we need to solve for k by plugging in our values for x and y.
$-3 = \frac{k}{17}$
We multiply both sides by 17 to solve for k:
$-3\times17 = \frac{k}{17}\times17$
$-51 = k$
$k = -51$
Therefore, our equation for the inverse variation is $y = \frac{-51}{x}$ or $xy = -51$
