There is a line through the origin that divides the region bounded by the parabola y=8x−4x2 and the x-axis into two regions with equal area. What is the slope of that line?
Well I integrated the fuction from zero to 2, and got 16/3. Took half the area. Integrated with mx, and got 2m. Then set it equal to 16/6 and solving for m found the slope to be 4/3. My online hw says this is incorrect. How? and what's the actual answer?