SOLUTION: Write an equation (in the for ax+by+cz=d) of the plane passing through P(5,7,-6)and parallel to the xz-plane.

Algebra ->  Graphs -> SOLUTION: Write an equation (in the for ax+by+cz=d) of the plane passing through P(5,7,-6)and parallel to the xz-plane.      Log On


   

Question 758791: Write an equation (in the for ax+by+cz=d) of the plane passing through P(5,7,-6)and parallel to the xz-plane.
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
Every plane parallel to the xz-plane has equation of the form 
y = c, where c is the y-coordinate of every point in
the plane:

Since P(5,7,-6) is a point on the plane and the y-coordinate 
is 7, the equation of the plane is y = 7

In the form ax + by + cz = d, that's 

0x + 1y + 0z = 7

But that is smply y = 7.

Edwin