The equation of a curve is
${x^2} + 2xy - {y^2} + 8 = 0$
a) Show that the tangent to the curve at the point (−2, 2) is parallel to the x-axis.
b) Find the equation of the tangent to the curve at the other point on the curve for which $x = - 2$, giving your answer in the form $y = mx + c$.
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