# How do you find the slant asymptote of (x^2+3x-4)/x?

Ok, so the slant asymptote means that as x gets infinitely big, the graph gets closer to a particular line, which is the slant asymptote. So you divide the numerator by the denominator, and, assuming it's ( ${x}^{2}$+... ) / ( $x$ +....) and ignore any remainder , then you should get a line equation y=mx+b. That line is your slant asymptote.
In this case you can divide all numerator terms by x, so $x + 3 + \frac{4}{x}$. The x+3 part is your slant asymptote.