I know all about the square root of negative one, but I have trouble picturing it as an axis with the real number line.
It is shown at a right angle to the real number line like the y-axis. But the y-axis is a number line too. Does the y-axis also have an imaginary number line? Can the same be said for z?
>If the y-axis has an imaginary number line, does it relate to the x-axis' number line in some way, like complex numbers?

I generally do well with math when I can visualize it.

>Do imaginary and complex numbers do anything interesting I should look into, just so I don't get bored with the topic.