Suppose you have a plane like 3x-12y+5z=30.

The intercepts then are (4,0,0), (0,6m0), (0,0,3)

So we plot them to get a triangular region, but does that mean this plane has a finite region or does it continue on forever?

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- Sep 29th 2011, 06:40 PMtwittytwitterQuestion about Graphing Planes
Suppose you have a plane like 3x-12y+5z=30.

The intercepts then are (4,0,0), (0,6m0), (0,0,3)

So we plot them to get a triangular region, but does that mean this plane has a finite region or does it continue on forever? - Sep 29th 2011, 07:05 PMTKHunnyRe: Question about Graphing Planes
Words mean things. Don't magically assign new meanings because you have some additional information.

A plane is an infinite region.

Intercepts are points in the plane.

Intercepts do NOT define the limits fo the plane.

The triangular region is contained in the plane. - Sep 29th 2011, 07:09 PMtwittytwitterRe: Question about Graphing Planes
Ok, got that part now.

One more question....

does it matter which axis you call x, y, and z if you are making a 2D representation of a 3D coordinate system? I've seen most places make the z axis pointing outwards, but since you can rotate, can you label the axes arbitrarily?