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
かちゅう
all over the house
かじ
family affairs
かぞく
family
うち
house
かけい
household economy
かおく
いえで
becoming a Buddhist monk
やづくり
house building
けらい
retainer