The curve x^3+y^3=27/2(xy), is sketched here. Answer the following three questions:

a) Find (in any way) an integer value of y such that (6,y) is a point p on the curve.

b) Use implicit differentiation to find the slop of the tangent line at the point P on the curve.

c) write an equation for the tangent line at the point p from part a