Identify the equation or coordinates of the following conic and its equation. Find the equations for the asymptotes of the hyperbola.

x^2/36 - y^2/5 = 1

Hyperbola equation:

(x-h) ²/a² - (y-k) ²/b² = 1

In our case h & k = 0 & the equation become x²/a² - y²/b² = 1

==> x²/36 p - y²/25 = 1 (with a=6 & b=5)

1) since a>b==> the hyperbola opens right & left

2) The formula of the asymptotes is y₁=k+b/a (x-h) & y₂=k-b/a (x-h)

Since h=k=0 then the equations of the hyperbola are y₁ = (6/5) x & y₂ = (-6/5) x