If equation of a line in complex plane is given by

$\displaystyle

\bar az+a\bar z+b=0

$

where $\displaystyle a$ is a complex constant and $\displaystyle b$ is a real number

Then complex slope of the line is defined as $\displaystyle \omega =-\frac{a}{\bar a}$

Now,what I want to know is that what is the complex slope of the line,i.e. what is its geometrical meaning.Also,what do $\displaystyle a$ and $\displaystyle b$ signify geometrically