Help with Understanding Plane Z: x - y

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Hey guys, I'm really really confused on how we come about the plane z = x - y. I always have been and it's proving to hurt my progress, any help will be accepted.
 

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Well to help us understand how you got confused, please show us your best attempt at the problem.
 
Start from the general equation of a plane, Ax+ By+ Cz= D, then let x= y= z= 0; x= z= 1, y= 0; and x= y= 1, z= 0; to get three equations to solve for A, B, and C. Of course, there is no "unique" equation for a plane. Any multiple, kAx+ kBy+ kCz= kD, is also an equation for the same plane.
 

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