To find a slant (or oblique) asymptote, long-divide the numerator by the denominator; ignore the remainder. The polynomial part is your asymptote.
In engineering, asymptotes are tremendously helpful, as they create approximate linear behaviors, which are easy to analyze, for non-linear behaviors. The length of your x-axis should be kept small, so you can clearly see that the asymptote does not touch the graph of your polynomial. Submit...