iplane points on a complex line
This activity allows you to choose the coefficients for a complex line, and then investigate the point(s) on this line in the iplane attached at each point. You can adjust the width of the iplane with the slider marked "width", and you can move the point where the iplane is attached by dragging the point marked A.
(The blue dotted line is the line made from the real coefficients, and the pink dotted line is made from the imaginary coefficients. The two red dotted lines are the equations inside the iplane that the points of the complex line must satisfy.)