Well tell her your reasons for eating to be homeschooled, bullies, mean teachers, can't keep up, ect. Why do you want to be homeschooled? How are your grades? I am homeschooled but I literally can not go to the school around here, it's the worst.
Just tell her you would rather be home-schooled than public schooled... tell her why you want to be home-schooled and how it would benefit you. I have been homeschooled and I honestly don't see the upside. You don't really have a social life and you can't participate in school sports if you are homescooled.