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

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

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

asymptotes

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

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

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 7, b = 1

y = \frac{1}{7} (x - 0) + 0, y = - \frac{1}{7} (x - 0) + 0

Refine

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

+ \frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

\frac{y ^{2}}{64} - \frac{x ^{2}}{81} = 1

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

2 x^{2} - 3 y^{2} = 6

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