If you connect (0,0) to (5,3) with a line segment, it goes through seven unit squares. If you connect (0,0) to (p,q) where p and q are positive whole numbers, how many squares do you go through? Experiment, look for patterns, and summarize your findings.
[Once again, my thanks to Henri Picciotto (hot@SOE.Berkeley.Edu) for contributing this problem.]
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