Take her out to dinner, get a cup of coffee or somewhere you two can be alone outside of the house. Nothing can ever be handled in anger.
First, swearing is disrespectful for either of you to use, ever. The words are not bad, it is how the words are applied.
Second, kindly and sincerely ask her what is going on in her life. Ask about school, where she wants to go in her life and talk respectfully towards each other. If it gets angry or loud, sit without words and try again.
If you two cannot talk to one another, seek counceling as soon as possible. If you cannot afford it, keep at the only talking when you can be kind to one another. If neither of you can say something nice, no one goes anywhere until you can.
At 16, if she over sleeps, keep her home for the day but do not allow any form of entertainment (TV, Phone, Computer) and spend the entire day together. Or walk to school with her. I had to walk two hours to get to school one time... if I missed the bus I knew I was walking.
Be firm, but NO YELLING, NO SWEARING and NO LIES, you must open communication now.