# What do #a# and #b# represent in the equation of a hyperbola?

##### 1 Answer

In the general equation of a hyperbola

#### Explanation:

For a hyperbola with a horizontal transverse axis,

the general formula is:

For a hyperbola with a vertical transverse axis,

the general formula is:

Note that the

The significance of

(the

For a hyperbola with a horizontal transverse axis,

the slopes of the two asymptotes are

For a hyperbola with a vertical transverse axis

the slopes of the two asymptotes are

{I hope the reason for this is clear from the above diagrams and the definition of slope.]