Find an equation of a plane that satisfies the given conditi

Find an equation of a plane that satisfies the given conditions.through (2, 3, 2) and parallel to 2x + y + z = 5

Solution

A general plane parallel to 2x+y+z=5 is

2x+y+z=c

Substituting given point gives

2*(-2)+3+2=c

So, c=1

So the required plane equation is

2x+y+z=1