## Algebra 2 Common Core

$\frac{5}{4}$
We need to isolate y. We start by adding 5x to both sides to isolate $y$ and its coefficient. Then, we divide both sides by 4 to fully isolate $y$. We have: $4y=5x \\y=\frac{5x}{4} \\y=\frac{5}{4}x$ In a direct variation $y=kx$, the constant of variation is $k$, so the constant of variation is $\frac{5}{4}$.