Police say she was driving erratically through East Flatbush when she crashed into a minivan.
One of the officer's guns went off as they tried to pull her out of the vehicle.
Davis was driving a car police say she had carjacked.
Her family and community activists say they killed an unarmed woman.
Davis was awaiting trial on charges that she was part of a gang that killed a man during a break-in last year.
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