SOLUTION: This is my problem. I know how to graph the points, but I'm stuck on how to find the equation. "Find the equation of the plane containing the points (3, 0, 0), (0, 8, 0), and (0,

Algebra ->  Triangles -> SOLUTION: This is my problem. I know how to graph the points, but I'm stuck on how to find the equation. "Find the equation of the plane containing the points (3, 0, 0), (0, 8, 0), and (0,       Log On


   

Question 832786: This is my problem. I know how to graph the points, but I'm stuck on how to find the equation.
"Find the equation of the plane containing the points (3, 0, 0), (0, 8, 0), and (0, 0, 6). Show each step of your process. Then graph the plane."
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of a plane is qx%2Bry%2Bsz=t
Use the three points,
3q=t
8r=t
6s=t
You can choose t to be any non-zero value and then solve for q,r, and s.
To make it easier let t=3%2A8%2A6=144.
3q=144
q=48
8r=144
r=18
6s=144
s=24
So then,
48x%2B18y%2B24z=144
highlight%288x%2B3y%2B4z=24%29