A line passing through the origin divides the area bounded by the parabola $y = -x^2 + x$ and the line $y=0$

slope-of-this-line

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A line passing through the origin divides the area bounded by the parabola $y = -x^2 + x$ and the line $y=0$ into two regions of equal area. What is the slope of this line?

Answer:

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