## Algebra 2 Common Core

$k=\frac{4}{3}$; When $x=-3$, $y=-4$
Write the formula for direct variation, which is $y=kx.$ Then, write the formula for the constant of variation, which is $k=\frac{y}{x}$. Substitute the given values ti solve for the constant of variation, which yields $k=\frac{4}{3}$. Use the direct variation formula to solve for $y$ when $x=-3$: $y=kx \\y=\frac{4}{3}(-3) \\y=-4$.