SOLUTION: Find the slopes of the asymptotes of the hyperbola with the equation 36 = 9x^2 – 4y^2

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Question 632706: Find the slopes of the asymptotes of the hyperbola with the equation 36 = 9x^2 – 4y^2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

36 = 9x^2 – 4y^2

x%5E2%2F2%5E2+-+y%5E2%2F3%5E2+=+1

 y = ± 3/2x

Standard Form of an Equation of an Hyperbola opening right and  left is:

  %28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 with C(h,k) and vertices 'a' units right and left of center,  

 & Asymptotes Lines passing thru C(h,k), with slopes  m =  ± b/a