Calculate if a beam of light will pass through a given point?

I’m not sure this should be in math or physics so i’m asking in both.

Given a laser beam at closed reflective surface where point $(x,y)$ being the source of a laser bean which hits a reflective surface at $(x1,y1)$ , how can i (if possible) tell the beam will hit point $(x2,y2)$ at some point??

where the value of $x,y,,x1,y1$ is given.

note: the beam could hit the point after multiple reflection as well.