How to Find the Asymptotes of a Hyperbola?

Write the hyperbola in standard form

Identify the center ((h, k))

For a horizontal hyperbola, use (y – k = pm frac{b}{a}(x – h))

For a vertical hyperbola, use (y – k = pm frac{a}{b}(x – h))

Find (a) and (b) from the standard form

Substitute the center and the values of (a) and (b) into the asymptote formulas

Simplify the equations of the asymptotes

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