Is it normal to hate my mother ?

I finally have found the courage to say this. I hate my mother. I despise her with every fiber of my being. I hate everything about her from the way she talks down to the way she looks. I just can't stand her. My whole life there has never been a connection or pull to her. Recently I've been battling depression and she literally doesn't care or understand. Everything she discussed with my therapist was all for show. All my life she has treated my younger brother like the golden child. I'm not jealous just tired of being around her. I'm only 18 and I'm so ready to move away and get on with my life. I'm not a violent person but sometimes I just want to throw things at her head to make her shut up. All she does all day is yell, complain and moan about how horrible her life is. She is the equivalent of how people think I should act at this age. She basically is a child in an adults body. Everything I know I had to teach myself. I can't stand being around her and for the sake of my sanity I have to find something so that I can move away. I just have to