If x >= 0 and y >= 0, how many lattice points does the line y = -x + 18 pass through? (A lattice point is a point with integer coordinates.)
\(\phantom{y = -2x + 18}\)
The first point in Quadrant 1 will be \((0,18)\).
The last point will be \((18,0)\)
Note that there will be a point for every x value, between 0 and 18.
Now, can you tell me how many lattice points that line passes through?