What is the asymptotes of-x^2+y^2=1 ?

The asymptotes of-x^2+y^2=1 is y=x,\quad y=-x

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asymptotes of-x^2+y^2=1

asymptotes

y = x, y = - x

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Refine

y = x, y = - x

What is the asymptotes of-x^2+y^2=1 ?
The asymptotes of-x^2+y^2=1 is y=x,\quad y=-x