SOLUTION: Find the slopes of the asymptotes of a hyperbola with the following equation. y^2/81-x^2/64=1 A. 8/9 B. 9/8 C. 8/9, –8/9 D. 9/8, –9/8

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the slopes of the asymptotes of a hyperbola with the following equation. y^2/81-x^2/64=1 A. 8/9 B. 9/8 C. 8/9, –8/9 D. 9/8, –9/8      Log On


   

Question 325064: Find the slopes of the asymptotes of a hyperbola with the following equation.
y^2/81-x^2/64=1

A. 8/9
B. 9/8
C. 8/9, –8/9
D. 9/8, –9/8
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
This is just a matter of observation. The equations of the asymptote lines are
y=+/- (a/b)x
Since a=9 and b=8, the lines have equations
y=9x/8 and y=-9x/8