Question 1 - A-Level Maths

Exam Board	Edexcel
Module	C4 (Core Mathematics 4)
Topic	Implicit equations and differentiation

$$x ^ { 3 } + 2 x y - y ^ { 2 } + 24 = 0$$ Show that the normal to the curve at the point $( 2 , - 4 )$ has the equation $y = 3 x - 10$. (8)