Final answer:
The point B) (8, 0) is on the x-axis and therefore it does not belong to any of the four quadrants of the Cartesian coordinate system.
Step-by-step explanation:
The given question asks you to identify which of the following points is not in any of the four quadrants on a Cartesian coordinate system. The Cartesian coordinate system is divided into four quadrants by the x-axis and the y-axis. Points in the quadrants have the following signs: Quadrant I (+,+), Quadrant II (-,+), Quadrant III (-,-), and Quadrant IV (+,-). Points lying exactly on the axes do not belong to any quadrant.
- A) (-2, 4) is in Quadrant II.
- B) (8, 0) lies on the x-axis and is not in any quadrant.
- C) (-8, -1) is in Quadrant III.
- D) (8, -1) is in Quadrant IV.
Therefore, the point that is not in any of the four quadrants is B) (8, 0).