Answer
$$ z= 2.$$
Work Step by Step
Since $ n=\langle 0,0,1 \rangle $ and $(x_{0},y_{0},z_{0})=(6,7,2)$
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, $$0(x-3)+0(y-\frac{1}{2})+(z-2)=0$$
and simplifying it, we get
$$ z=2$$
Hence the equation is given by
$$ z= 2.$$
