Can you post your mother's chart, as well? Maybe we can see what is going on with her.
You don't say what the fight was about, but if it is something you can apologize for and fix up with her, this is probably best for both your long-term and short-term future. Eventually you need to move out of the house, but you don't want a life-long bad relationship with your mother. Do you speak respectually to her and help out around the house? If you can't fix things, have you got another family member or family friend with whom you can live while you finish school?
Are there part-time jobs where you live, or can you start your own small business, even if it is window-washing or gardening for people? Starting to earn some of your own money should ease the situation. But are you training in school for any type of job right now or are you university bound?
You seem to be a very private person, with feelings that are easily hurt, and a tendency to get angry when they are. As you mature and learn to handle your feelings better, your issues with your mother should ease up.
I agree with Spread the Light: the moon represents your mother in the horoscope, and yours looks troubled, making stressful aspects, especially to your ascendant (outward body, personality) and Pluto (suggesting inter-personal power-struggles.) Your moon trine Venus suggests a lot of love in the relationship, thankfully, which may be something you can build upon.
Your relationship does need to change, however, as you enter adulthood. Transiting Neptune just now is hitting your moon and approaching the cusp of your 4th house of home and early childhood conditioning. Things about your living situation that you once thought were very real may turn out to be illusory. For example, it is possible that your mother will move and you will need to find your own housing anyway.