SOLUTION: Find the slopes of the asymptotes of a hyperbola with the equation y² = 36 + 4x².

We have to get it in either the form:

 -  = 1

which looks like this  ) (
and has slopes of asymptotes 

or the form:

 -  = 1

which looks like this 

and has slopes of asymptotes 

      y² = 36 + 4x²

y² - 4x² = 36

Get 1 on the right by dividing through by 36

 +  = 

 +  = 1

 +  = 1


So, it's in the form

 -  = 1, with a=6, and b=3

which looks like this 

and has slopes of asymptotes  =  = ±2

Edwin