The unit normal for the given plane is <5,2,-1>. The equation of the plane parallel to the given plane passing through (5,5,4) is therefore 5(x-5)+2(y-5)-1(z-4)=0 simplify => 5x+2y-z=25+10-4=31
Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31
