How to get my dad to chill and let me go to school?

ok so i have been home schooled my whole life (i'm in 10th grade, a girl and i'm 16) and i hate it so much for reasons which i won't list because there is just too many. i'll just say that if anyone else was in this situation they would've jumped off a bridge already. i've asked my parents to send me to public school. well my mom is really leaning towards sending me. but my dad, well i don't know what his problem is. he just keeps making feeble attempts to convince me to not want to go. my mom said his reason is because he's afraid i'll end up getting into drugs and alcohol and sex like he did when he was in high school. but i won't. you have to trust me on this. my mom knows i won't too. i am afraid to discuss it with my dad because he's so stubborn and pig headed and if you don't agree with him you are automatically wrong. i'm afraid he'll start yelling at me, which will cause me to yell back, which will cause him to probably freak out and kick me out of the house or something. i've never gone there before so i don't know what he'd do, but i'm afraid. but how can i get him to realize that i will be just fine in public school? i'm not socially awkward or anything (dunno how that worked out, must have been a miracle) and i have a good head on my shoulders. how can i convince him to let me go to public school?