How to convince my mom to let me get homeschooled?

I'm fifteen and a sophmore and in HS and have decent grades.. I just can't stand going to private schools anymore and she won't let me go to public.. I do go out with friends alot so I'm not worried about socialization.. What can I do to convince her this would be better for me?
Update: Thanks.. My friends wouldnt do it.. Does someone have to actually teach you or can you teach yourself in homeschooling and just get a tutor once a week to check up on you or something? What should I say to my mom to make it seem as though I'm not going to slack off or anything?
Update 2: Thanks sooo much! I'm deffinatly going to start looking into different programs and hopefully by Christmas I'll be able to convince her that I can do it.. She works full time and I don't have a dad so the assignments in the morning might be good.. As for my friends.. They wouldn't want to be... show more Thanks sooo much! I'm deffinatly going to start looking into different programs and hopefully by Christmas I'll be able to convince her that I can do it.. She works full time and I don't have a dad so the assignments in the morning might be good.. As for my friends.. They wouldn't want to be homeschooled but they wouldn't care if I was.. Private school kids especially at the all girls school I go to are horrible and my mom just doesn't understand.
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