Why did beatty talk to montag?

Montag killed Beatty because he was going to be arrested for having books, because Montag was through with Beatty pushing him around all of the time and forcing him to burn down his own house, before Beatty was killed, he was making fun of Montag and trying to get Montag anry at Beatty (almost as if Beatty wanted to be killed), and because Beatty was going to have Faber killed. All of this enraged Guy Montag, and all of the emotion he was feeling finally burst through as he burnt Beatty, killing him.