The claim is True. In the Cartesian plane, the coordinates of a point are written as an ordered pair (x, y), where the first value is the x-coordinate and the second is the y-coordinate. The context explicitly states that if x $\neq$ y, then (x, y) $\neq$ (y, x). For instance, point S (3, -5) lies in Quadrant IV, whereas point Q (-5, 3) lies in Quadrant II; swapping the coordinates changes the point's location entirely. The context also confirms that (x, y) = (y, x) if and only if x = y, meaning the ordered pair remains the same only when both values are identical.