Step 1:

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The conic equation is $\"\"$ .

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Convert the equation into standard form.

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$\"\"$

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$\"\"$

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Change the expression $\"\"$ and $\"\"$ into a perfect square trinomials add (half the x coefficient)² and (half the y coefficient)² to each side of the equation.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ is represents a pair of intersecting lines.

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Step 2:

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$\"\"$

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Comparing with $\"\"$ .

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$\"\"$

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$\"\"$

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Formula for the point of Intersection of the lines is $\"\"$

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Substitute the above values.

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$\"\"$

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$\"\"$

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$\"\"$

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Graph:

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Graph the equation $\"\"$ .

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$\"\"$

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Observe the graph the two lines are intesecting at $\"\"$ .

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Solution:

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The equation $\"\"$ represents a pair of lines and they are intersect at $\"\"$ .