(1) Vacancies in the office of mayor or council member must be filled by appointment made by a majority vote of the remaining members of the council. If in filling a vacancy a tie vote should occur, then the person to fill the vacancy must be determined by lot in a manner that the council may provide.
(2) A person appointed to fill a vacancy shall hold office until the next general election and until a successor is elected and qualified. A person elected to fill a vacancy shall hold office until the expiration of the term for which the predecessor was elected.