# How do you find the vertical, horizontal or slant asymptotes for #y = 5/(x - 1)#?

##### 2 Answers

Nov 23, 2016

**Horizontal asymptote:**

#### Explanation:

The only horizontal/slant asymptote is a horizontal asymptote at

Nov 23, 2016

Vertical asymptote: x = 1; and horizontal asymptote: y = 0.

#### Explanation:

graph{y(x-1)-5=0 [-10, 10, -5, 5]}

The general equation of a rectangular hyperbola with center at #(

alpha, beta ) and m as the slope of one of the asymptotes is

The asymptotes are given by

Here, it is

#x-1=0 and y = 0.

For this answer, I recalled from my memory what I had learnt, more

than 60 years ago. The graph affirms that I am right.