Muggle-borns inherit magic from a distant ancestor; they are descended from Squibs who have married Muggles and whose families had lost the knowledge of their wizarding legacy. ... So even "muggle-borns" have ancestors who were magical at one point. Hermione was born magical. And she's not a muggle, she's a muggle-born.
The question is really vague, there could be many answers. But I'm guessing it's hate violence. The definition of hate violence is: "<span>speech or behavior that is aimed at a person or group based on personal characteristics" so lol I guess that'd be it.</span>