The Panthers now stand at 6-3-1 on the season; it was their third shutout of the year.
Both teams were scoreless after the first half of play, and Plotky found the back of the net in the 51st minute - six minutes into the second half - off an assist from senior Linda Amaya.
Babbin scored six minutes later, assisted by sophomore Melissa Sweeney, to put the Panthers up 2-0.
Senior goalkeeper Amber Hernandez played all 90 minutes in goal and recorded three saves.
BSC continues SCAC action this Sunday, traveling to face Hendrix College in Conway, Ark., at noon.