What is the asymptotes of (y^2)/(49)-(x^2)/(36)=1 ?

The asymptotes of (y^2)/(49)-(x^2)/(36)=1 is y=(7x)/6 ,\quad y=-(7x)/6

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asymptotes of (y^2)/(49)-(x^2)/(36)=1

asymptotes

\frac{y ^{2}}{49} - \frac{x ^{2}}{36} = 1

y = \frac{7 x}{6}, y = - \frac{7 x}{6}

Solution steps

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

Calculate Hyperbola properties

\frac{y ^{2}}{49} - \frac{x ^{2}}{36} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 7, b = 6

y = \frac{7}{6} (x - 0) + 0, y = - \frac{7}{6} (x - 0) + 0

Refine

y = \frac{7 x}{6}, y = - \frac{7 x}{6}

\frac{x ^{2}}{49} - \frac{y ^{2}}{36} = 1

\frac{( y - 5 ) ^{2}}{16} - (x + 5)^{2} = 1

4 x^{2} - y^{2} - 24 x - 4 y + 28 = 0

- 1 = x^{2} - y^{2}

\frac{x ^{2}}{36} - \frac{y ^{2}}{16} = 1

What is the asymptotes of (y^2)/(49)-(x^2)/(36)=1 ?
The asymptotes of (y^2)/(49)-(x^2)/(36)=1 is y=(7x)/6 ,\quad y=-(7x)/6