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

The asymptotes of x^2-y^2+4x-6y=6 is y=x-1,\quad y=-(x+2)-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of x^2-y^2+4x-6y=6

asymptotes

x^{2} - y^{2} + 4 x - 6 y = 6

y = x - 1, 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 = 6 :

Right-left Hyperbola with

(h, k) = (- 2, - 3), a = 1, b = 1

y = \frac{1}{1} (x - (- 2)) + (- 3), y = - \frac{1}{1} (x - (- 2)) + (- 3)

Refine

y = x - 1, y = - (x + 2) - 3

9 x^{2} - 4 y^{2} + 36 x - 8 y - 40 = 0

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

4 x^{2} - y^{2} = 2

4 x^{2} - y^{2} = 4

4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y - 2 = 0

What is the asymptotes of x^2-y^2+4x-6y=6 ?
The asymptotes of x^2-y^2+4x-6y=6 is y=x-1,\quad y=-(x+2)-3