(1) The supreme court has appellate jurisdiction and may issue, hear, and determine writs appropriate thereto. It has original jurisdiction to issue, hear, and determine writs of habeas corpus and such other writs as may be provided by law.

  (2) It has general supervisory control over all other courts.

  (3) It may make rules governing appellate procedure, practice and procedure for all other courts, admission to the bar and the conduct of its members. Rules of procedure shall be subject to disapproval by the legislature in either of the two sessions following promulgation.

  (4) Supreme court process shall extend to all parts of the state.