Answer
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Work Step by Step
As its name suggests, a slant asymptote is parallel to neither the $x$-axis nor the $y$-axis and hence its slope is neither $0$ nor undefined. It is also known as an oblique asymptote. Its equation is of the form $y = mx + b$ where $m$ is a non-zero real number. A rational function has an oblique asymptote only when the degree of its numerator is exactly $1$ more than the degree of its denominator and hence a function with a slant asymptote can never have a horizontal asymptote.
The slant asymptote of a rational function is obtained by dividing its numerator by denominator using the long division. The quotient of the division (irrespective of the remainder) preceded by "y =" gives the equation of the slant asymptote.
