# How do you find the slant asymptote of #f(x)=(x-3)/(x-4)#?

##### 1 Answer

Jan 13, 2016

Since the highest exponent for both the numerator and denominator is the same (it's 1), **there is no slant asymptote** .

#### Explanation:

You will have a **slant asymptote** when the greatest exponent in the numerator exceeds the greatest exponent in the denominator by 1.

For example, the following function will have a slant asymptote:

Because the exponent

hope that helped