Question: Quadratic Surfaces

Graph the surfaces  y= x + z and y = 1 - z on the same axes using the domain |x| < or = 1.2 , |z| < or = 1.2 , and observe the curve of intersection of both surfaces. Show that the projection of this curve onto the xz-plane is an ellipse.

 

So that's that problem. I am so lost on what to do. I know it has to do something with implicitplot3d.

 

Also, there is a problem where 2 parametric curves were defined by 2 formulas, and they had "control points" which kind of dictate how they look depending on the value of these "control points." Now, given the equation for the parametric equations, how would I plot a linear line from one point to another. There are 4 points so there should be 3 lines

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