Let a smooth curve y=f(x) be such that the slope of the tangent at any point (x, y) on it is directly proportional to (-y/x). If the curve passes…

Let a smooth curve $\displaystyle y=f(x)$ be such that the slope of the tangent at any point $\displaystyle (x, y)$ on it is directly proportional to $\displaystyle \left(\frac{-y}{x}\right)$. If the curve passes through the points $\displaystyle (1,2)$ and $\displaystyle (8,1)$, then $\displaystyle \left|y\left(\frac{1}{8}\right)\right|$ is equal to