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

question 128

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

---

Definitions:

Automatic Evaluation

An immediate, unconscious assessment of something as good or bad, often based on ingrained beliefs or feelings.

Abstract Art

A style of art that does not attempt to represent an accurate depiction of visual reality but instead uses shapes, colors, forms, and gestural marks to achieve its effect.

Intuitive Feeling

A decision-making process that is based on instinctive emotional responses rather than analytical reasoning.

Classical Conditioning

A type of learning in which, through repeated pairings, a neutral stimulus comes to evoke a conditioned response.