SOLUTION: Find slopes of the asymptotes of the hyperbola with the equation 36 = 9x squared

SOLUTION: Find slopes of the asymptotes of the hyperbola with the equation 36 = 9x squared - 4y squared

Question 636911: Find slopes of the asymptotes of the hyperbola with the equation
36 = 9x squared - 4y squared
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find slopes of the asymptotes of the hyperbola with the equation
36 = 9x squared - 4y squared
**
rewrite given equation
9x^2-4y^2=36
divide by 36
x^2/4-y^2/9=1
This is a hyperbola with horizontal transverse axis.
Its standard form:
For given equation:
a^2=4
a=√4=2
b^2=9
b=√9=3
slopes of asymptotes for given hyperbola=�b/a=�3/2
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