What is the asymptotes of 1=(x^2)/4-(y^2)/9 ?

The asymptotes of 1=(x^2)/4-(y^2)/9 is y=(3x)/2 ,\quad y=-(3x)/2

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asymptotes of 1=(x^2)/4-(y^2)/9

asymptotes

1 = \frac{x ^{2}}{4} - \frac{y ^{2}}{9}

y = \frac{3 x}{2}, y = - \frac{3 x}{2}

Solution steps

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

Calculate Hyperbola properties

1 = \frac{x ^{2}}{4} - \frac{y ^{2}}{9} :

Right-left Hyperbola with

(h, k) = (0, 0), a = 2, b = 3

y = \frac{3}{2} (x - 0) + 0, y = - \frac{3}{2} (x - 0) + 0

Refine

y = \frac{3 x}{2}, y = - \frac{3 x}{2}

16 x^{2} - 25 y^{2} = 100

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

\frac{( x + 9 ) ^{2}}{9} - \frac{( y - 8 ) ^{2}}{4} = 1

+ x^{2} - y^{2} = 4

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0

What is the asymptotes of 1=(x^2)/4-(y^2)/9 ?
The asymptotes of 1=(x^2)/4-(y^2)/9 is y=(3x)/2 ,\quad y=-(3x)/2