Mathematics

Problem

Let slope of the tangent line to a curve at any point

P(x, y)

be given by

\frac{xy^2 + y}{x}

. If the curve intersects the line

x + 2y = 4

x = -2

, then the value of

y

, for which the point

(3, y)

lies on the curve, is : (1)

\frac{18}{35}

(2)

-\frac{4}{3}

(3)

-\frac{18}{19}

(4)

-\frac{18}{11}