What is the formula for finding the asymptote of hyperbola?

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Srinivasa Reddy

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y-k =+/- b/a( x-h).
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Asymptotes of a hyperbola are the lines that pass through center of the hyperbola. The formula is y=+or- (b/a)x.
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There is no particular formula for finding asymptote of hyperbola. But there is a condition i.e., asymptote equation and hyperbola equations are differ by constant.
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(x - 3)2/4 - (y + 1)2/25 = 1. Set this equal to 0 and factor to get:- ((x - 3)/2 + (y + 1)/5)((x - 3)/2 - (y + 1)/5) = 0. Separate each factor and solve to find the equations of the asymptotes:- (x - 3)/2 + (y + 1)/5 = 0 ? y = -5/2x + 13/2 ((x - 3)/2 - (y + 1)/5) = 0 ? y = 5/2x - 17/2.
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Let me tell you in step wise:- step 1 : Write down the equation of the hyperbola in standard form. step 2 : Set the equation equal to zero instead of one. step 3 : Factor the new equation. step 4 : Separate the factors and solve for y Try it for difficult sums also. Hope you will understand .
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y = +/- (b/a)(x - h) + k.
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Physics

y -- 2 = ± (3/4)(x + 3).
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y = +-(b/a)*x for x^2/a^2 + y^2/b^2 = 1.
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Hyperbolas only have asymptotes neither parabolas nor ellipse. Though parabolas and hyperbolas are very similar, parabolas are formed by the distance from a point and the distance to a line being the same. Hence, parabolas don’t have asymptotes. For horizontal hyperbola, the asymptotes are given by the...
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Hyperbolas only have asymptotes neither parabolas nor ellipse. Though parabolas and hyperbolas are very similar, parabolas are formed by the distance from a point and the distance to a line being the same. Hence, parabolas don’t have asymptotes. For horizontal hyperbola, the asymptotes are given by the line with the equation:- Y = ±b/a (x-h) + k. For vertical hyperbola, the asymptotes have the equation:- Y = ±a/b (x-h) + k. Note that b/a and a/b are the slopes of the lines and k is the y coordinate of the center. read less
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y-k =+ or - b a(x-h).
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