Minnesota won for the fourth time in five games with Niklas Backstrom making 25 saves to collect the victory.
Heatley scored late in the first period and early in the second to stake the Wild to a 3-0 lead. Jared Spurgeon's power-play tally with 3:58 left in the middle stanza gave Minnesota its 4-1 advantage heading into the final 20 minutes.
Backstrom then stopped the only other shot the Coyotes got off to preserve the victory.
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