# Complex Number Definition

- Author:
- Ajay Kumar Otta, Steve Phelps

A complex number z is a point in the plane where the x-axis is measured in real units and the y-axis is measured
in imaginary units. Notice x=Re(z) and y=Im(z).
What is the locus of points that satisfy Re(z)=Im(z)?
What is the locus of points that satisfy Re(z)=3?
What is the locus of points that satisfy Im(z)=2?