Unit G Summary Question 3: Slant Asymptotes

When does a graph have a slant asypmtote? How do you find the equation of the slant asymptote?

A slant asymptote is a diagonal imaginary line that a graph approaches but should not touch. A graph has a slant asymptote when the degree of the numerator is one, exactly one, degree bigger than the degree on the denominator of a function. What this means is that if the x (or whatever variable) on the top of a function has one power more than the the x on the bottom, the graph has a slant asymptote. To find the equation of the slant asymptote, one divide the numerator by the denominator using long division. The equation will be your answer excluding the remainder.