Asymptotes of a hyperbola are straight lines that the hyperbola approaches but never touches. For a hyperbola centered at the origin, the equations are y=±baxy = \pm \frac{b}{a}xy=±abx (for horizontal) or y=±abxy = \pm \frac{a}{b}xy=±bax (for vertical). They help in sketching the hyperbola and understanding its behavior at infinity.
