How can I visualize a curve and a plane in the same 3D plot?

For example,

I want to see a line representing the function " z (x , y) = x^2 & y = a constant " intersecting the plane.

Thank you.

You could use ImplicitRegion and RegionIntersection

regA = ImplicitRegion[z == x + y + 2 && Between[x, {-10, 10}] && Between[y, {-10, 10}], {x, y, z}];
regB = ImplicitRegion[z == x^2 + 4, {x, y, z}];

Show[
 	Region[Style[regA, Orange]],
 	Region[Style[RegionIntersection[regA, regB], Black, Thick]],
 	Boxed -> True, Axes -> True, BoxRatios -> 1
 ]

Hello!,
I’m sorry for the confusion, I actually meant a curve intersecting the plane (I already changed the title).

Good news is that I figured it out:

Still, Thank you for your help!