Go to the court the county where you live to see if they have a "form" or sample petition. The petition, among other things, must include the reasons why emancipation would be in your best interests and why emancipation is requested. Whether having a "place to stay" will count as living separately depends upon the court; however, you must be self-supporting and managing your own financial affairs. Also, I believe you will need a plan to stay in school until you are 18, but I'm not sure about that. Good luck!
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Your biggest hurdle is going to be proof that you can support yourself, which will be difficult if you are a full time student which you should be. If the abuse is real, you could report it through your family doctor or at school. They would be required to report your claim to Child Protective Services.
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You have to be self-sufficient and living away. Then it counts. So get a job and then go to the place. Then file. You can get the form online or from the Texas District court website.