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 only when the degree of the top is one bigger than the degree on the bottom. We have to perform long division. When we do so, everything but our remainder is now the equation of the slant asymptote line. Graphs can sometimes cross through a slant asymptote towards the middle of the graph. The equation is always going to be y=mx+b.
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