Kansas City jumped past both Houston and Montreal and moved into first place in the Eastern Conference with 14 points (4-1-2) in seven games.
Collin scored on a header off a corner kick, beating Luis Robles with a ball that found the top right corner of the net.
Jimmy Nielsen made three saves to record the shutout.
New York (2-4-2) remained tied with Philadelphia for fifth place in the East.
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