Question: There is a line through the origin that divides the region bounded by the parabola y = 2a: 51:3 and the x-axis into two regions

 There is a line through the origin that divides the region

bounded by the parabola y = 2a: 51:3 and the x-axis into

There is a line through the origin that divides the region bounded by the parabola y = 2a: 51:3 and the x-axis into two regions with equal area. What is the slope of that line? D Hint: Draw a picture, write the area between the parabola and the line in terms of the slope of the line, and solve for the slope

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