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Coordinate Geometryhard
0:00.0

A triangle has vertices A(0,0)A(0, 0)A(0,0), B(a,0)B(a, 0)B(a,0), and C(0,b)C(0, b)C(0,b). A line is drawn through the origin such that it bisects the area of the triangle. What is the slope of this line?