Active region determination for line generation in regionalized rasterizer displays

In one embodiment, selecting a screen region on a screen of a monitor of a computer graphics display system to activate in rendering a straight line segment. Steps of aligning a rectangular grid to screen region boundaries, wherein the screen includes a screen space divided into at least one screen region, locating a first and second endpoints of the straight line segment on the screen space, defining a rectangular bounding box in the screen space having vertices at the first and second endpoints, identifying each screen region that at least partially overlaps the bounding box, and selecting each identified screen region through which the straight line segment passes to activate for rendering the straight line segment on the screen are disclosed.