what teacher did voldermort kill at the start? i cant make it out x\

If آپ mean the muggle studies teacher in the beginning of DH, her name was Charity Burbage.

Charity Burbage, shes the muggle studies teacher.

Charity Burbage. She taught Muggle Studies at Hogwarts before she was captured and killed سے طرف کی Voldemort. We don't really hear much about her, so that may be the reason آپ couldn't make it out.