Overlap between computer science and analytic geometry? I would like to know if there are some topics that could be covered in an undergraduate first-term course about analytic geometry, but related to Computer Science.

I know that, for example, the simple equation for the line can be used for explaining linear regression or other topics in elliptic cryptography (too advanced for an initial course).

Any suggestion of topics?
Computer graphics is applied analytic geometry, and showing how games do their computations might be exactly the kind of motivating subject matter you are looking for.