## Calculus (3rd Edition)

$$y= \frac{1}{2}.$$
Since $n=\langle 0,1,0 \rangle$ and $(x_{0},y_{0},z_{0})=(-5,\frac{1}{2},\frac{1}{2})$ then the equation of the plane in scalar form is $a(x-x_{0})+b(y-y_{0})+c(z-z_{0})=0$ That is, $$0(x-3)+(y-\frac{1}{2})+0(z-\frac{1}{2})=0$$ and simplifying it, we get $$y=\frac{1}{2}$$ Hence the equation is given by $$y= \frac{1}{2}.$$