What is the asymptotes of 9x^2-16y^2=144 ?

The asymptotes of 9x^2-16y^2=144 is y=(3x)/4 ,\quad y=-(3x)/4

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asymptotes of 9x^2-16y^2=144

asymptotes

9 x^{2} - 16 y^{2} = 144

y = \frac{3 x}{4}, y = - \frac{3 x}{4}

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 16 y^{2} = 144 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 4, b = 3

y = \frac{3}{4} (x - 0) + 0, y = - \frac{3}{4} (x - 0) + 0

Refine

y = \frac{3 x}{4}, y = - \frac{3 x}{4}

x^{2} + y^{2} + 6 x - 4 y = 0

f (x) = x^{2} + 2 x + 1

y^{2} = 28 x

3 x^{2} - 3 y = 0

\frac{x ^{2}}{25} - \frac{y ^{2}}{16} = 1

What is the asymptotes of 9x^2-16y^2=144 ?
The asymptotes of 9x^2-16y^2=144 is y=(3x)/4 ,\quad y=-(3x)/4