What is the asymptotes of x^2-y^2-4x-6y-14=0 ?

The asymptotes of x^2-y^2-4x-6y-14=0 is y=x-5,\quad y=-(x-2)-3

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asymptotes of x^2-y^2-4x-6y-14=0

asymptotes

x^{2} - y^{2} - 4 x - 6 y - 14 = 0

y = x - 5, y = - (x - 2) - 3

Solution steps

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

Calculate Hyperbola properties

x^{2} - y^{2} - 4 x - 6 y - 14 = 0 :

Right-left Hyperbola with

(h, k) = (2, - 3), a = 3, b = 3

y = \frac{3}{3} (x - 2) + (- 3), y = - \frac{3}{3} (x - 2) + (- 3)

Refine

y = x - 5, y = - (x - 2) - 3

4 x^{2} - 9 y^{2} - 8 x + 72 y - 176 = 0

\frac{y ^{2}}{49} - \frac{x ^{2}}{64} = 1

25 x^{2} - 16 y^{2} + 50 x - 32 y - 391 = 0

\frac{( y ) ^{2}}{12} - \frac{x ^{2}}{16} = 1

9 x^{2} - 18 x - 24 y - 63 = 4 y^{2}

What is the asymptotes of x^2-y^2-4x-6y-14=0 ?
The asymptotes of x^2-y^2-4x-6y-14=0 is y=x-5,\quad y=-(x-2)-3