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If x \geq 0 and y \geq 0, how many lattice points does the line y = -2x + 18 - x + 30 pass through? (A lattice point is a point with integer coordinates.)

 Jun 28, 2022
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The equation simplifies to \(y = -3x + 48\)

 

The first and last points in the first quadrant are \((0, 48)\), and \((16, 0)\).

 

Note that there will be a lattice point for every coordinate with \(0 \leq x \leq 16\)

 

Can you take it from here?

 Jun 29, 2022

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