SOLUTION: Find the slopes of the assymptotes of the hyperbola with equation x²/64 - y²/36=1

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Question 38304: Find the slopes of the assymptotes of the hyperbola with equation x²/64 - y²/36=1
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slopes of the assymptotes of the hyperbola with equation x%5E2%2F64+-+y%5E2%2F36=1
The hyperbola is horizontal, so the slope is b/a ....
a=8
b=6
and the center point is (0,0)
Use point-slope form: y+-+yp+=+m%28x+-+xp%29 where yp and xp are points
y+-+0+=+%286%2F8%29%28x+-+0%29 and y+-+0+=+%28-6%2F8%29%28x+-+0%29
y+=+%283%2F4%29x and y+=+-%283%2F4%29x