When writing an ordered pair in the Cartesian plane, which coordinate is written first and what does it represent?

The x-coordinate is written first and it represents horizontal displacement from the origin.

Either coordinate can be written first depending on the quadrant; the order is arbitrary.

The coordinate with the greater magnitude is written first and represents the dominant direction of movement, regardless of axis orientation.

The y-coordinate is written first, and it represents vertical displacement from the origin.