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# Hyperbola

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The hyperbola

(x - 3)^2/25 - (y + 1)^2/4 = 1

has two asymptotes, one with positive slope and one with negative slope. Compute the intercept of the one with positive slope. (Enter your answer as an ordered pair.)

May 26, 2021

#1
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You set it equal to zero and factor:

$$\left(\frac{x-3}{5}-\frac{y+1}{2}\right)\left(\frac{x-3}{5}+\frac{y+1}{2}\right)=0$$

So one or the other is zero. Solve both of them then pick the one with positive slope w.r.t x

May 26, 2021