Provide an Appropriate Response $x ^ { 2 } + 2 x y + y ^ { 2 } = 9$

question 157

Multiple Choice

Provide an appropriate response.
-At the two points where the curve $x ^ { 2 } + 2 x y + y ^ { 2 } = 9$ crosses the $x$ -axis, the tangents to the curve are parallel. What is the common slope of these tangents?

• A) 1
• B) \(- 3\)
• C) \(- 1\)
• D) \(\frac { 1 } { 3 }\)

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