SOLUTION: x sqrd/49-y sqrd/81=1, what are the slopes of the asymptotes?

Question 730543: x sqrd/49-y sqrd/81=1, what are the slopes of the asymptotes?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
x sqrd/49-y sqrd/81=1, what are the slopes of the asymptotes?
***
x^2/49-y^2/81=1
This is an equation of a hyperbola with horizontal transverse axis.
Its standard form of equation:
slopes of hyperbolas with horizontal transverse axis=�b/a
For given equation:
a^2=49
a=7
b^2=81
b=9
slopes=�b/a=�9/7
..
Notes:
Slopes of hyperbolas with vertical transverse axis=�a/b
Equations of asymptotes are straight lines that go thru the center of the hyperbola
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