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[br]in imaginary units. Notice x=Re(z) and y=Im(z). [br][br]What is the locus of points that satisfy Re(z)=Im(z)?[br]What is the locus of points that satisfy Re(z)=3?[br]What is the locus of points that satisfy Im(z)=2?