The Council shall have the power to open for public use, and to close or abandon any street, alley or other way. No street, alley or other way shall be considered a public street, alley or way until accepted as such by ordinance adopted by the Council. No street, alley or other way, which has been accepted by the Council as a public way or has been used as a public way, shall be closed, vacated or abandoned, except by ordinance adopted by the Council. The approval by the Council, of any map or plat of lands constituting or delineating a subdivision or addition to the City, shall not be deemed to be an acceptance, as public, of the streets, alleys or other ways shown thereon.