Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 304: 45

y=-6

Since we know that in a direct variation the ratio of $\frac{y}{x}$ is constant, lets divide the two y-coordinates with their respective x-coordinates and set them equal to each other: $\frac{y}{1}$=$\frac{-9}{\frac{3}{2}}$. (Cross Multiply) $\frac{3y}{2}$=-9 (Multiply both sides by 2) 3y=-18 (Divide both sides by 3) y=-6