I'm not sure if any of these are correct. You are stating that the acronym 'ABC' refers to an American-born Chinese person, but does that explain or make it a slur or a pejorative in and of itself? You might mean to say that it is being used by some as an ethnic slur, or they meant it in a derogatory way.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.