the line y = m(x-1) passes through the pont (1,0) and divides the region bounded by y = (x-1) and (5-x) and the x-axis into 2 sub-regions, whose areas are in the ratio 1:7 (the area is 32/3), with the smallest sub-region above the line. Calculate in terms of m, the co-ordinates of the point of intersection of the line and the curve, and hence show that m satisfies the equation m^3-12m^2+48-56 = 0. Deduce that the line must therefore be y = 2(x-1)

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anonymous · Answer

so the graph looks like this:
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