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.)
+2666 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?
