What is the asymptotes of 4x^2-9y^2=144 ?

The asymptotes of 4x^2-9y^2=144 is y=(2x)/3 ,\quad y=-(2x)/3

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asymptotes of 4x^2-9y^2=144

asymptotes

4 x^{2} - 9 y^{2} = 144

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

Solution steps

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

Calculate Hyperbola properties

4 x^{2} - 9 y^{2} = 144 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 6, b = 4

y = \frac{4}{6} (x - 0) + 0, y = - \frac{4}{6} (x - 0) + 0

Refine

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

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

4 x^{2} - 25 y^{2} + 100 y = 200

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

9 y^{2} - 49 x^{2} = 441

4 x^{2} - 9 y^{2} - 16 x + 18 y - 7 = 0

What is the asymptotes of 4x^2-9y^2=144 ?
The asymptotes of 4x^2-9y^2=144 is y=(2x)/3 ,\quad y=-(2x)/3