So in this problem we're given this equation and were asked to sketch the plane. Yeah, representing this equation. And then are asked to list four points four points on this plane. All right. So, first of all the way to sketch this is two. Figure out the X coordinate when Y and Z or zero, and then the Y coordinate went X and Z or zero. And the Z coordinate went X and Y are zero. In other words, the three intercepts that happened well, when Why? and 00 and I have two, X equals 12. And so X equals six. So that means I have 600. So that's one of the points on this plane in it. So, let's list that over here. That's one of the points on this plane. And that means on the x axis here and go 123456. So, I'll have point there. Okay, then, when X and 00 I have three, y equals 12. So why is four? So now I have another point here at zero for 0. Okay. So why is four so 1234 at that point there? So that means the plane's gonna intersect that line. I can do a little bit better drawing that line. Let me see here. Yeah. Almost there we go. And intersect that line. Okay? So now when X&Y are zero four z equals 12. one x 4. See his three. All right, so there's another .003. All right, so 123. No they're sick that point right there. So oh that missed pretty badly. Let me redo that. What's that one? That sign And then there's that sign. So there's the plane drawn there for us and now we need one more point. All right, So let's let x. equal one and y equal to what happens when X is one? That means I have two times one is two. Was Why is 2? So three times 2 is six Plus four. Z equals 12. Six plus two is eight plus four. Z equals 12. It's attract eight four. Z equals four, So z equals one. So here's the 4.1, two, one. There's four points on our plane and our plane is drawn over there on the left hand side.