Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64
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Have you done hyperbolas yet?
Guess you're away from the keyboard, so I will give you a few hints and let you continue working on it.
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1. The equations represent a hyperbola centred at (1,1).
2. The hyperbola has the equation of the form
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.
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