(1) Resignation shall be made as follows:
(a) By the Secretary of State, State Treasurer and all officers elected by the legislature, to the Governor.
(b) By all officers who hold their offices by election, to the officer authorized by law to order a special election to fill the resulting vacancy.
(c) By all other officers holding their offices by appointment, to the body, board or officer that appointed them.
(2) Resignations described in this section must be made in writing.