SOLUTION: Hi all, Im still having trouble with these graphing problems, I need to; Find equation of the line plane through the three points: (1,-1,-2),(2,1,2) and (-2,0,-7) Im not sure

Question 204670: Hi all, Im still having trouble with these graphing problems, I need to;
Find equation of the line plane through the three points:
(1,-1,-2),(2,1,2) and (-2,0,-7)
Im not sure how to do it, so a solution with steps and explanations would be great.
Thanks, -Nick
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Hi all, Im still having trouble with these graphing problems, I need to;
Find equation of the line plane through the three points:
(1,-1,-2),(2,1,2) and (-2,0,-7)
----------------------------
Do you mean the plane? 3 points determine a plane.
The best way to do these, imo, is to use a matrix.
|x +y +z 1|
|1 -1 -2 1|
|2 +1 2 1| = 0
|-2 0 -7 1|
----------
(the + signs are for spacing)
2x + y - z = 3 is the plane.
------------------------
As a check, all 3 points fit the equation.
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