WILL MEDAL AND FAN!!! How do you find the asymptotes of a hyperbola?

Question

davidusa · Answer

Please help me?

mathmate · Answer

Do you know the general equation of a hyperbola?

davidusa · Answer

I'm not exactly sure.

mathmate · Answer

Recall a hyperbola centred at the origin is defined as:
$\huge \frac{x^2}{a^2}-\frac{y^2}{b^2}=\pm 1$
The sign depends on the orientation of the axis of the conic.
If you can transform the equation of the hyperbola to the above form, then the equation of the asymptotes are:
$\huge y=\pm \frac{b}{a}x$
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The curves are not supposed to touch the asymptotes (shaky hands)