# How do I identify the horizontal asymptotes of #f(x) = (4x)/7#?

##### 1 Answer

Sep 13, 2014

This function does not have any horizontal asymptotes. This function is in slope intercept form,

It's a linear function, just a line, with a slope of

Asymptote rules:

If the degree of the **numerator** is **less** than the degree of the **denominator** then the x-axis is the horizontal asymptote.

If the **numerator** and **denominator** have the **same** degree then the quotient of those coefficients is the horizontal asymptote.

If the degree of the **numerator** is **greater** than the degree of the **denominator** then there is no horizontal asymptote.

In this example the degree of the numerator is