HalfPlane
HalfPlane[{p1, p2}, w] represents the half-plane bounded by the line through p1 and p2 and extended in the direction w.
HalfPlane[p, v, w]represents the half-plane bounded by the line through p along v and extended in the direction w.
Examples
Create a half-plane:
HalfPlane[{{0, 0}, {1, 1}}, {0, 1}]Visualize a half-plane:
Graphics[{LightBlue, HalfPlane[{{0, 0}, {1, 0}}, {0, 1}]}]Using point and direction:
HalfPlane[{0, 0}, {1, 0}, {0, 1}]Please visit the official Wolfram Language Reference for more details.