Question

What are the asymptotes in y^2/25 - (x + 6)^2/144 = 1?

Answer 1

whats the center? and how do we define slope?

Answer 2

or, just solve for y ..... might work

Answer 3

Well, it's a hyperbola, and I'm supposed to infer from the equation the asymptotes.

Answer 4

right, they pass thru the center, and have a slope of +-b/a

Answer 5

if we know a slope and a point, we can format the point slope formula of a line

Answer 6

Ok, but how do we get the asymptotes?

Answer 7

what is the equation of a generic hyperbola?

Answer 8

Like with the center at the origin?

Answer 9

well, a generic one has a center at a random point, but sure, we can start with origin

Answer 10

b and a do not differ if its centered at the origin

Answer 11

I have this formula for the asymptotes, but I'm not sure if it works.

y - k = -+a/b(x - h)

Answer 12

thats fine, but its a little vague on a and b

Answer 13

personally, i keep yb paired and xa paired

y/x is therefore b/a for a slope

Answer 14

So where do we start?