Answer
$ z= 2-y$ for $0 \leq x \leq 2; 0 \leq y \leq 4 $
Work Step by Step
We are given the parametric equation of the plane as:
$r (u, v)=\lt u, u+v, 2-u-v \gt$
and $0 \leq u \leq 2; 0 \leq v \leq 2 $
Suppose that $u=x; y=u+v$
Thus, the equation of a plane can be expressed as:
$ z= 2-y$ for $0 \leq x \leq 2; 0 \leq y \leq 4 $
