7. A curve is described by the equation
$$x ^ { 2 } + 4 x y + y ^ { 2 } + 27 = 0$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
A point \(Q\) lies on the curve.
The tangent to the curve at \(Q\) is parallel to the \(y\)-axis.
Given that the \(x\) coordinate of \(Q\) is negative, - use your answer to part (a) to find the coordinates of \(Q\).