# How do you find the Vertical, Horizontal, and Oblique Asymptote given #(-7x + 5) / (x^2 + 8x -20)#?

##### 1 Answer

Vertical asymptote:

Horizontal asymptote:

Oblique (slant) asymptote: None.

#### Explanation:

To find the vertical asymptote, find all values of

The values of

To find the horizontal asymptote you look at the largest order of

The numerator is first order and the denominator is second order. Since the order of the denominator is greater than the order of the numerator and the coefficient in front of

The oblique (slant) asymptote is only existent if the numerator is divisible by the denominator. Since the order of the denominator is larger than the numerator, the numerator is not divisible and there is no slant asymptote.