I'm a little confused on the way this question is phrased - basically I know the equation of my rational curve is $y^2(1 + x) = (1 - x)^3$ or $f(x) = \sqrt{\frac{(1 - x)^3}{(1 + x)}}$ and I know the slope of a line connecting two points $(x, f(x))$ and (1,0) such that $0 \leq x \leq 1$ is uniquely determined by the equation $\frac{\sqrt{1 - x^2}}{1 + x}$
So, I'm supposed to use this fact to work backwards to $y^2(1 + x) = (1 - x)^3$
Any idea on how I should go about doing this?