What is the asymptotes of 9y^2-36x^2=324 ?

The asymptotes of 9y^2-36x^2=324 is y=2x,\quad y=-2x

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asymptotes of 9y^2-36x^2=324

asymptotes

y = 2 x, y = - 2 x

Solution steps

y = \pm \frac{a}{b} (x - h) + k

Calculate Hyperbola properties

9 y^{2} - 36 x^{2} = 324 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 6, b = 3

y = \frac{6}{3} (x - 0) + 0, y = - \frac{6}{3} (x - 0) + 0

Refine

y = 2 x, y = - 2 x

What is the asymptotes of 9y^2-36x^2=324 ?
The asymptotes of 9y^2-36x^2=324 is y=2x,\quad y=-2x