00:01
If you have a function of two variables and you want to graph it, then what you want to do first is give it a name like z.
00:12
And then notice that you have x, y, and z all to the first power.
00:19
So just like in two dimensions, when you have y and x to the one power, you have a line.
00:29
Well, in two dimensions, when you have them all to the one power, you have a plane.
00:34
Already in three dimensions.
00:36
Okay, so what i'm gonna do is put all the letters on the same side, so i'm moving 4x and 5y over there with the z, except i'm putting them on this side.
00:48
Okay, so that's almost standard form for a plane.
00:55
I think you put that 10 on the same side for it to be standard form, but that's okay.
01:00
Okay, now you can't really draw a plane because it's infinite.
01:06
So what you're gonna do is you're gonna draw the intersection of it with the first quadrant...