What is the asymptotes of (y^2)/(49)-(x^2)/(64)=1 ?

The asymptotes of (y^2)/(49)-(x^2)/(64)=1 is y=(7x)/8 ,\quad y=-(7x)/8

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asymptotes of (y^2)/(49)-(x^2)/(64)=1

asymptotes

\frac{y ^{2}}{49} - \frac{x ^{2}}{64} = 1

y = \frac{7 x}{8}, y = - \frac{7 x}{8}

Solution steps

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

Calculate Hyperbola properties

\frac{y ^{2}}{49} - \frac{x ^{2}}{64} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 7, b = 8

y = \frac{7}{8} (x - 0) + 0, y = - \frac{7}{8} (x - 0) + 0

Refine

y = \frac{7 x}{8}, y = - \frac{7 x}{8}

25 x^{2} - 16 y^{2} + 50 x - 32 y - 391 = 0

\frac{( y ) ^{2}}{12} - \frac{x ^{2}}{16} = 1

9 x^{2} - 18 x - 24 y - 63 = 4 y^{2}

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

3 x^{2} - 8 y^{2} + 12 x + 16 y + 20 = 0

What is the asymptotes of (y^2)/(49)-(x^2)/(64)=1 ?
The asymptotes of (y^2)/(49)-(x^2)/(64)=1 is y=(7x)/8 ,\quad y=-(7x)/8