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## Homework Statement

Find the equation of the tangent line to the graph of x^2 - xy + y^2 = 19 (where y=y(x)) at (3,-2).

## Homework Equations

## The Attempt at a Solution

So, this is what I did:

d/dx(x^2-xy+y^2) = (19)d/dx

2x*dx/dx-dy/dx+dy/dx+2y(dy/dx)=0

2x+2y(dy/dx)=0

And I am stuck, the answer to this question is:

y+2=8/7(x-3)

and I don't know how to get the slope.