A person who is swaying or staggering when walking is demonstrating what sign of intoxication?

A person who is swaying or staggering when walking is demonstrating impaired motor coordination, which is a sign of intoxication. Alcohol affects the central nervous system, including the brain, which can result in decreased coordination, balance, and muscle control. This can cause individuals to have difficulty walking steadily, leading to swaying, stumbling, or staggering movements.
Impaired motor coordination is one of the common physical signs of intoxication and can be used to assess a person's level of impairment. Other signs, such as slurred speech, bloodshot eyes, or slowed reflexes, may also accompany impaired motor coordination.