Question

Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64

Answer 1

Have you done hyperbolas yet?

Answer 2

@karly12 ?

Answer 3

Guess you're away from the keyboard, so I will give you a few hints and let you continue working on it.

Answer 4

Hints:
1. The equations represent a hyperbola centred at (1,1).
2. The hyperbola has the equation of the form
(y/a)^2-(x/b)^2=1...............(1)
so the axis (line joining the two foci) is vertical.
3. With a vertical axis, the slope of the asymptotes is \(\pm a/b\).
4. So, if you transform the given equation to form (1) above, then you can find a and b, from which you can determine the slope a/b. Note that you can keep the (y-1)^2 and (x-1)^2 intact, since they simply represent a translation of the centre of the hyperbola, and will not change the slope of the asymptotes.

If you need more information, everything you need is here:
http://www.purplemath.com/modules/hyperbola.htm

Answer 5

Thank you so much!!!

Answer 6

You're welcome! :)