+0

# coordinates

0
90
1

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

#1
+2448
0

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