sat-dog

The correct answer is $9$. It's given that the y-intercept of the graph of $12x+2y=18$ in the xy-plane is $\left(0,y\right)$. Substituting $0$ for $x$ in the equation $12x+2y=18$ yields $12\left(0\right)+2y=18$, or $2y=18$. Dividing both sides of this equation by $2$ yields $y=9$. Therefore, the value of $y$ is $9$.