It is a bit ambiguous in this case.
The anime finished before the manga:
Anime finished: March 23, 1996
Manga finished: June 04, 1996
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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Slam Dunk tells the story of Hanamichi Sakuragi, a high school freshman with a terrible reputation and a history of romantic rejection. He's looking for a fresh start at Shohoku High, primarily hoping to find a girlfriend.
His life takes an unexpected turn when he meets Haruko Akagi, a girl who loves basketball. To impress her, Hanamichi impulsively claims to be a basketball player, leading to a series of comical events and his introduction to the Shohoku High basketball team.
Despite initially disliking the sport, Hanamichi finds himself drawn to the energy and competitive spirit of basketball, as well as the camaraderie of his new teammates. The anime follows his journey as he learns the game, develops his skills, and discovers a passion he never knew he had.