The Son Also Draws is episode 06 of family guy season 01. It was originally aired on May 9, 1999.
Chris is booted from the Youth Scouts, so Peter takes the family to the Big Apple to get him reinstated. But when Peter takes a wrong turn, they end up at a Native American Casino where Lois hits the slot machine once too often. Peter must embark on a vision quest to prove he has Native American blood to save the day.