What is the asymptotes of (y^2)/(25)-x^2=1 ?

The asymptotes of (y^2)/(25)-x^2=1 is y=5x,\quad y=-5x

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asymptotes of (y^2)/(25)-x^2=1

asymptotes

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

y = 5 x, y = - 5 x

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 1

y = \frac{5}{1} (x - 0) + 0, y = - \frac{5}{1} (x - 0) + 0

Refine

y = 5 x, y = - 5 x

16 y^{2} - x^{2} + 2 x + 64 y + 47 = 0

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

- 36 x^{2} + y^{2} = 36

y^{2} - 4 x^{2} - 12 y - 16 x + 16 = 0

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

What is the asymptotes of (y^2)/(25)-x^2=1 ?
The asymptotes of (y^2)/(25)-x^2=1 is y=5x,\quad y=-5x