Antoine Vermette and Kyle Chipchura also scored for the Coyotes, who finished the 2012-13 campaign at 21-18-9 and missed the Western Conference playoffs.
Jason LaBarbera made 43 saves in Phoenix's second victory in three games to close out the season.
Viktor Fasth made 26 saves in the loss.
NBC reportedly holds celebs hostage to Jimmy Fallon's show
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