Tangent Line on a Curve?

[iceman45575]

Hello everyone,

Find an equation of the tangent line to the curve x^(2/3) + y^(2/3) = 20 at the point (8,64).

For my answer I got y=-2x+6 but it is wrong, can anyone please help?

Thank You!

 

[Dr.Peterson]

You have the right slope, -2; so you must have done something wrong in writing the equation of the line. Please show your detailed work for that part. Did you use the point-slope form?