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How do you find the slope of an asymptote of a hyperbola?

Tony335

by Tony335 at July 05, 2011

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Hi Tony -First, there are always two asymptotes and they are of the form:y - k = ±m(x - h)The slope is ±m in this equation.  Here is how I always remember the slope for these asymptotes:Let m = ±b/a , where b is the square root of the number under the y-term and a is the square root under the x-term.  It doesn't matter if the y-term is first or second in the general hyperbola formula:So, to find the slope, simply take whatever number is beneath the y-term, take the square root and call it b.  Do the same thing with the x-term and call it a.  The slope is simply m = ±b/aHome that helps

Steve204 Steve204 July 05, 2011

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