# How do you find the asymptotes for #y = x/(x-6)#?

##### 1 Answer

The asymptotes are

#### Explanation:

To find the vertical asymptote, we only need to take note the value approached by x when y is made to increase positively or negatively

as y is made to approach

Therefore,

Similarly, To find the horizontal asymptote, we only need to take note the value approached by y when x is made to increase positively or negatively

as x is made to approach

Therefore,

kindly see the graph of

graph{y=x/(x-6)[-20,20,-10,10]}

and the graph of the asymptotes

graph{(y-10000000x+6*10000000)(y-1)=0[-20,20,-10,10]}

have a nice day!