RCW 35A.12.100 indicates that the mayor shall have a vote only in the case of a tie in the votes of the councilmembers. However, there are important limitations on the tie-breaking authority of the mayor. The mayor may not break a tie in regard to the passage of any ordinance, or in regard to the grant or revocation of a franchise or license, or with regard to any resolution for the payment of money. This is because of the limitation imposed in RCW 35A.12.100 and also because of RCW 35A.12.120, which indicates that those types of actions require the affirmative vote of at least the whole membership of the council.

The agenda for a council meeting ultimately should be controlled by the council, not the mayor. Although the mayor is usually the presiding officer at the meeting, he or she does not have the authority to refuse to place on the agenda items the council wishes to discuss.  In many cities, the council may delegate the authority to set the agenda to the administration as a practical matter.  

Under RCW 35A.12.100, the mayor in a mayor-council code city has the power to veto ordinances passed by the city council, although a mayor's veto may be overridden by a majority of the council plus one. This is not a "line item veto," but rather a veto power over an entire ordinance only.  The veto power extends only to ordinances and does not apply to resolutions or motions.

No. The mayor's duties and powers are specified in RCW 35.27.160 and this statute does not provide for a mayoral veto power.

In the absence of specific statutory authorization the mayor cannot exercise this power. Therefore, the mayor in a town does not have a veto power over council ordinances, resolutions or motions. It is necessary for the mayor to sign municipal ordinances, but this is simply a ministerial action and there is no discretion in his or her exercise of this power.

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No. A mayor does not have the authority on his or her own to cancel a council meeting, whether regular or special, for the reason that he or she cannot attend, or, for that matter, for any reason. Meetings may only be canceled at the direction of the city council. This is despite the fact that a mayor may on his own call a special meeting of the council. RCW 42.30.080. That authority does not, however, include any authority to cancel meetings. If the mayor is unable to attend a meeting, the statutory scheme contemplates that a mayor pro tem, appointed from among the councilmembers, is to preside over the meeting.

No, RCW 35A.12.090 provides in part:

The mayor shall have the power of appoint-ment and removal of all appointive officers and employees subject to any applicable law, rule, or regulation relating to civil service . . . Appointive offices shall be without definite term unless a term is established for such office by law, charter or ordinance.

Accordingly, unless an ordinance has set a term of office for a particular appointive position, the office's "term" would be indefinite and the incumbent does not need to be reappointed.

A mayor has veto power only when and to the extent that the power has been vested in the mayor by law. Excluding first class cities, which are governed by their individual charters, the veto power is granted only to mayors in mayor-council second class cities, and code cities organized under the mayor-council plan of government.  The relevant statute for second class cities is RCW 35.23.211; the relevant statute for mayor-council code cities is RCW 35A.12.130.