Solve the Problem $$\text { Write an equation for the tangent line to the curve } x ^ { 2 } - 10 x y + y ^ { 2 } = 12 \text { at the point } ( - 1,1 ) \text {. }$$

Multiple Choice

Solve the problem.
- $$\text { Write an equation for the tangent line to the curve } x ^ { 2 } - 10 x y + y ^ { 2 } = 12 \text { at the point } ( - 1,1 ) \text {. }$$

A) y = x + 1
B) y = x - 2
C) x - y + 2 = 0
D) x + y = 1