## Algebra 1

$y = \frac{-51}{x}$ or $xy = -51$
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 $xy = -51$