Continuity mistake: When Jennifer Lopez is in the car with her daughter, she eats a doughnut. In each shot, there's more bites, but a little time has passed and she only takes little bites.
Continuity mistake: When Slim is dancing with her husband at their reception, a guy comes up and gives her husband an envelope with money in it. Her husband slips it into his vest pocket. In the next shot he puts it in again.
Continuity mistake: The day after Slim has first been hit by her husband, she goes to her mother-in-law's house. The scar on her cheek was way smaller that day then it was last night. It could not have healed that quickly.
Continuity mistake: During the final confrontation between Jennifer Lopez and Billy Campbell, he points at her with his left hand. It cuts to a reverse and he is now pointing with his right hand.
Continuity mistake: In the chase scene involving Slim and Noah Wylie, Slim's car crashes through two gates, one at each end of an old bridge. However, after crashing through the second gate at the other end of the bridge, there does not appear to be any front-end damage to the car. How is this possible?
Continuity mistake: When Slim is first hit by her husband, notice the scar on her right cheek. It keeps going from under her eye to the side of her eye, between shots.
Answer: I wonder if the nickname is related to the difficult times in her life. Her father was not around. She and her mother did not have much money. Maybe she felt that she had a "slim chance" of life getting easier.