If x >= 0 and y >= 0, how many lattice points does the line y = -3x + 36 pass through?
It will pass through 13 lattice points
To see this, it will pass through a lattice point at every x value from 0 to 12
And these will be paired with y values 36, 33, 30 , 27.......0
So....13 lattice points
