integra818,
It sounds like your situation is similar to my own when I was your age. My older sister basically "ruined" it for me. Everything was given to her (4 cars, 3 colleges, rent, utilities -- you name it), but she always found some way to screw it up. I was only 1½ years younger than her, but when I turned 16, do you think anyone offered me a car, schooling, housing, etc.? No. Actually, I didn't want their help, because I didn't want them to think I was a begger, or falling into the footsteps of my older sister, who later turned out to be a drug addict . . . and a lesbian. It does take time, but when you decide YOU are going to do something with your own life, nothing can stop you if you're willing to make it happen. Believe me. I made it happen, and I'm live a wonderful life . . . because I made my own life . . . not having to rely on anyone. It can happen . . . as long as YOU make it happen.
In the meantime, while you are still living with your parents, think about what they want, and give it to them. You are under their roof, and it is only respectful to show your appreciation. I believe the best thing you could do to win their trust right now (in light of your brother's prior behavior) is to show them love and respect. Go out of your way to help out around the house, and be very considerate of their feelings, wants and needs. You will be amazed at how they will give you the same in return. Trust is something you must strive on. Without honesty, trust, love and respect, life can be horrible. But, YOU can make it happen.
Also, as far as diverting your attention to "happier" things, what do you enjoy? There's a lot of things you can do that are inexpensive. For example, if you like to write poetry or draw pictures, enter them into a free contest. It would be a great accomplishment for you, something to add to your resume in the future, and something your parents would be proud of.
Show them you're not like your brother . . . that you are loving, caring and responsible. And remember, if you want something bad enough, YOU can make it happen. Have faith in yourself. Your life is what YOU make it to be . . . not what someone else dictates. Happiness comes from within. With a little effort . . . you'll create the happiness you deserve.
Truly best wishes!