A slant asymptote is a line that is slanted and either goes uphill or downhill. A slant asymptote only exists if the degree of the top is ONE bigger than the degree on the bottom. To locate aslant asymptote you must perform long division. After performing long division everything but your remainder is now the equation of the slant asymptote of the line. To find the equation you also use y=mx+b. Something to remember about slant asymptotes is that the graphs can sometimes cross through towards the middle of the graph.
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