家教 is read as かきょう (kakyou) and means tutor.
かきょう
kakyou
かていきょうし
private tutor
しゅうきょうか
religious leader
やぬし
landlord
うちじゅう
all over the house
かじ
family affairs
かぞく
family
かけい
household economy
かおく
house
いえで
becoming a Buddhist monk
いえづくり
house building
けらい
retainer
かでん
household (electrical) appliances