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

The asymptotes of-36x^2+y^2=36 is y=6x,\quad y=-6x

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asymptotes of-36x^2+y^2=36

asymptotes

- 36 x^{2} + y^{2} = 36

y = 6 x, y = - 6 x

Solution steps

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

Calculate Hyperbola properties

- 36 x^{2} + y^{2} = 36 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 6, b = 1

y = \frac{6}{1} (x - 0) + 0, y = - \frac{6}{1} (x - 0) + 0

Refine

y = 6 x, y = - 6 x

y^{2} - 4 x^{2} - 12 y - 16 x + 16 = 0

\frac{x ^{2}}{49} - y^{2} = 1

+ \frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

\frac{y ^{2}}{64} - \frac{x ^{2}}{81} = 1

What is the asymptotes of-36x^2+y^2=36 ?
The asymptotes of-36x^2+y^2=36 is y=6x,\quad y=-6x