If one game is needed to break a tie for a playoff berth between two teams, it will be played on the Monday after the scheduled end to the regular season, hosted by the team that won the season series against the other. That applies to determining a division championship whether or not the losing team would still qualify as a Wild Card.
With their win today, the Yankees clinched their 25th consecutive winning season. They have not had a losing record since 1992. The only longer streak of winning seasons in major league history also belongs to the Yankees: 39, from 1926 to 1964 (source: Elias Sports Bureau).