Respuesta :
An asymptote is a straight line that constantly approaches a given curve but does not meet at an infinite distance.
The equation of the asymptote is;
[tex]\rm \dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=0[/tex]
We have to determine
The equations of the asymptotes.
What are asymptotes?
An asymptote is a straight line that constantly approaches a given curve but does not meet at an infinite distance.
There are 2 types of asymptotes.
- Vertical asymptotes
- Horizontal asymptotes
In curves in the graph of a function y= f(x), horizontal asymptotes are flat lines parallel to the x-axis that the graph of the function approaches as x moves closer towards +∞ or −∞.
The equation of the asymptote is;
[tex]\rm \dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=0[/tex]
Hence, The equation of the asymptote is [tex]\rm \dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=0[/tex].
To know more about Asymptote click the link given below.
https://brainly.com/question/17121499
