**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:**

**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:**