Answer
$$x + y - 2 - z - 2 = 0$$ $$x + y - z = 4$$
Work Step by Step
1. Write the general equation of a plane:
$$a(x - x_0) + b(y - y_0) + c(z - z_0) = 0$$
2. Substitute the values:
$$ ( 1 )(x - ( 0 )) + ( 1 )(y - ( 2 )) + ( -1 )(z - ( -2 )) = 0 $$
3. Simplify:
$$x + y - 2 - z - 2 = 0$$ $$x + y - z = 4$$
