How can I move with my mom in another state? I am 16 and live with my dad and he won't let me leave.

Short answer:  changes in custody require either an agreement between the parents or a court order.  The relevant rules are explained here: http://willicklawgroup.com/child-custody-and-visitation/ First step would be have you mom simply ask your dad; if that does not work, the only way to effect a change of custody is to file a motion asking for that result.  You could seek legal emancipation, but that is a pretty tough standard (you have to show how you could be self-supporting).  Otherwise, it is a matter of waiting to age 18.