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Math Help - find number of points on the straight line

  1. #1
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    find number of points on the straight line

    how to find number of points on the straight line which joins (-4,11) and (16,-1) whose coordinates are positive integers
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    MHF Contributor MarkFL's Avatar
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    Re: find number of points on the straight line

    The slope of the line segment is:

    \frac{12}{-20}=-\frac{3}{5}

    and so the lattice points are found by taking the given leftmost point and successively adding 5 to the x-coordinate and subtracting 3 from the y coordinate to get:

    (-4,11), (1,8), (6,5), (11,2), (16,-1)
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