An asymptote is a line that a graph approaches but never touches. It can be horizontal, vertical, or slanted.
Vertical Asymptote: A vertical line that a graph approaches as x approaches a certain value.
Horizontal Asymptote: A horizontal line that a graph approaches as x goes towards positive or negative infinity.
Oblique/Slant Asymptote: A slanted line that serves as an asymptote for certain types of rational functions.