Can my Mother lose her housing because of me?

Hello all, I was wondering, can my Mother really do this to me?
Today is my eighteenth birthday and my Father is approved for Social security because he is disabled, next week I will be applying for Social security. But, my Mother is on the housing program and has me listed that I live with her. Now that I am eighteen, can’t I just leave or will she lose the place she is living in? I do not want to jeopardize my schooling because I use a different address to attend the school that I am going to. What are my options? I feel as if my Mom is just using me for her own benefit..