# How do you find the center of the hyperbola, its focal length, and its eccentricity if a hyperbola has a vertical transverse axis of length 8 and asymptotes of #y=7/2x-3# and #y=-7/2x-1#?

##### 1 Answer

The answers are:

Center

Since this hyperbola has a **vertical transverse axis** (the "

First of all let's find the center that is at a point that is on the two asymptotes. So let's solve the system:

We can make a subtraction:

and:

Since the asymptotes have slope:

and the vertical axis is

so:

The equation of the hyperbola is:

The focal axis is named

The eccentricity is, in this case, is: