Despite dominating most of the game against struggling Rayo, Getafe were pegged back in the 58th minute by a well struck shot from the edge of the box from visiting striker Raul de Tomas, who is on loan from Real Madrid.
But Getafe, who threw away a two-goal lead at Eibar last week to remain outside the top four, would not be denied victory and they re-took the lead 10 minutes later when Mata burst into the area and laid the ball on for strike partner Jorge Molina to tap into the net from close range.
The win takes Getafe, who returned to the top flight in 2017, into fourth place on 39 points, two clear of Sevilla who host leaders Barcelona later on Saturday.
Rayo remain in the relegation zone, sitting 19th on 23 points.
(Reporting by Richard Martin, editing by Pritha Sarkar)
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