What are the coordinates of the origin in a Cartesian coordinate system?

The origin in a Cartesian coordinate system is the point where the x-axis and y-axis intersect. This point is defined by the coordinates (0, 0), where the x-coordinate is 0 and the y-coordinate is also 0.

In this coordinate system, the x-coordinate indicates the horizontal position relative to the vertical y-axis, while the y-coordinate indicates the vertical position relative to the horizontal x-axis. Therefore, (0, 0) signifies that there is no distance from either axis, placing the point at the central intersection.

The other options represent points that are positioned away from the origin. For example, (1, 1) is in the first quadrant, (-1, -1) is in the third quadrant, and (0, 1) is directly above the origin on the y-axis. Each of these points has either a non-zero x or y coordinate, meaning they are not at the point of intersection of the axes, which reinforces that (0, 0) is indeed the correct representation of the origin.