i just like to know if i am correct.

a vertical line in a graph looks like this:up and down
a horizontal line looks like this: <-->

so if i have x >= 1 will be horizontal on 1
and if y <= 3 will be vertical on 3

Yes, yes, no no

If x=> 1, the asympotope will be vertical as x=1

If y<= 3, it will be a horizonatl line at y =3