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Math Help - Integer Points

  1. #1
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    Integer Points

    Find the number of points satisfying

    y<=(a/b)x

    where x,y,a,b are all integers and a<=b
    plzz help
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  2. #2
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    intermediate step

    a/b<=1
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by bangalibabu View Post
    Find the number of points satisfying

    y<=(a/b)x

    where x,y,a,b are all integers and a<=b
    plzz help
    I don't understand the question. Isn't there an infinite number of points

    If we let y\in\mathbb{N} be variable, fix a=1,b=2 then wouldnt \left\{x=2y,x=4y,\cdots\right\} all satisfy this?
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  4. #4
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    ohh I forgot.... x<=n where n is an integer
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  5. #5
    Super Member Bacterius's Avatar
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    Quote Originally Posted by bangalibabu View Post
    ohh I forgot.... x<=n where n is an integer
    Yeah that would make more sense otherwise a/b would always yield 0 in integer division.
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