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If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.
denominators
denominators
ellipse are added hyperbola are subtracted
A hyperbola has 2 asymptotes.www.2dcurves.com/conicsection/​conicsectionh.html