What is the tangent line to the curve at the given point?

[fk378]

Homework Statement

Find the tangent line to the curve y^2 (y^2 - 4) = x^2 (x^2 -5) at the point (0,-2).

Homework Equations

y-y1=m(x-x1)

The Attempt at a Solution

I d/dx-ed both sides and was left with dy/dx=0
so
y=-2
Does that seem right?

 

[atqamar]

Yup that's correct!