Question

Determine the equation of the plane in the form z=f(xy) that is parallel to the plane 2x−9y+4z=5 and passes through the point S(3−32).

Answer 1

Hint:
Ax+By+C= D
is parallel to
Ax+By+C= E


So in this case,
2x−9y+4z=5
is parallel to
2x−9y+4z=k
for any real number k