Question

what are the equations for the asymptotes of this hyperbola x^2/9 - y^2/64 = 1

Answer 1

You might find these notes useful for this problem: http://tutorial.math.lamar.edu/Classes/Alg/Hyperbolas.aspx

Answer 2

a^2 = 9 --> a=3

b^2 = 64 --> b = 8

hyperbola opens left/right because x^2 term is positive
asymptote is y = +-b/a(x-h) +k

y = +-(8/3)x