Intersection of circle and line.

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Now we can realize that intersection of two parallel lines at point of infinity in projective space. I can manage to visualize this and compute it. My issue is if we have the two varieties $ X_1= Z (x^2+y^2-1) $ And $X_2=Z (x-5) $ Visualization of these is hard to see that they intersect, but according to Bezouts thrm, they have to intesect at two points. Any explanation here is appreciated. Just to bring to your attention that I am looking for explanation how many points of intersection and their multiplicity, how to visualize them.