Unit G Summary Question #3: Slant Asymptotes

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

A graph has a slant asymptote if the degree on the top is one bigger than the degree on bottom. To find the slant asymptote you use long division. Your equation is everything except the remainder. To remember this, we remember this song: A slant one! A slant one! Degree must be one bigger on top. A slant one! A slant one! Long divison will tell you where it's at. The equation is y=mx+b. Just like horizontal asymptotes, the graphs can sometimes cross through the slant asymptote towards but never towards the right.