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Mathematics, 11.02.2021 03:10 gracieorman4
Let $S$ be the set of lattice points in the coordinate plane, both of whose coordinates are integers between $1$ and $30,$ inclusive. Exactly $300$ points in $S$ lie on or below a line with equation $y = mx.$ The possible values of $m$ lie in an interval of length $\dfrac{a}{b},$ where $a$ and $b$ are relatively prime positive integers. What is $a + b\,?$
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Let $S$ be the set of lattice points in the coordinate plane, both of whose coordinates are integers...
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