How to apologize to my boyfriend's dad?

owlxbones
My boyfriends dad is generally very nice to me. He gives me rides to my boyfriends baseball games, takes me out to eat with them, etc.

He was supposed to give me a ride home last night, but decided he didn't really feel up to it. I had no other way home: he PROMISED to take me home. Once it passed midnight and my mother had started to yell at me, I became desperate. My boyfriend argued with his dad about it for a while, but it was just getting later. I got very upset and ran out of the apartment (slamming the door.. which I feel very guilty about) and started to walk home (despite how long the walk is). He did end up picking me up and taking me home.

He is very, very angry with me though for my behavior. Despite the fact that I'm not entirely at fault, I want to be the better man and apologize to him. I just don't know what to say.

I plan to write an apology letter instead of apologizing to his face. He is angry to the point where he doesn't want me anywhere near him... and the last thing I want to do is upset him more.
How to apologize to my boyfriend's dad?
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