What is the asymptotes of 0=-400/9 x^2+16y^2+400 ?

The asymptotes of 0=-400/9 x^2+16y^2+400 is y=(5x)/3 ,\quad y=-(5x)/3

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asymptotes of 0=-400/9 x^2+16y^2+400

asymptotes

y = \frac{5 x}{3}, y = - \frac{5 x}{3}

Solution steps

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

Calculate Hyperbola properties

0 = - \frac{400}{9} x^{2} + 16 y^{2} + 400 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 5

y = \frac{5}{3} (x - 0) + 0, y = - \frac{5}{3} (x - 0) + 0

Refine

y = \frac{5 x}{3}, y = - \frac{5 x}{3}

What is the asymptotes of 0=-400/9 x^2+16y^2+400 ?
The asymptotes of 0=-400/9 x^2+16y^2+400 is y=(5x)/3 ,\quad y=-(5x)/3