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Consider the finite geometry (Z5)2. Graph the line 2x + 3y = 4. Anything unusual? Now I want to do something slightly odd. Recall that

Consider the finite geometry (Z5)2. Graph the line 2x + 3y = 4. Anything unusual? Now I want to do something slightly odd. Recall that (Z5)2 has exactly 25 points. I want to put the number 5 on both axes and include 11 new points for (Z5)2. Thus for example I now have points like (5, 3) and (2, 5) in addition to the 25 points before. However in Z5 we do not have 5, and thus to make everything consistent we have to say that 5 is just another name for 0. Thus the point (5, 3) is the same as (0, 3). Given this interpretation can you make sense of the graph of the above line?

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