# Graphing complex numbers

Graphing complex numbers in the complex plane or Argand diagram is similar to graphing points in the rectangular coordinate system. However, there is a difference.

Similarity: The complex number a + bi is represented as a point (a, b) in the complex plane and you can graph (a, b) the same way you graph it in the coordinate system.

Difference: In the rectangular coordinate system, the horizontal axis is called x-axis and the vertical axis is called y-axis. In the complex plane, the horizontal axis is called real axis and the vertical axis is called imaginary axis. The complex plane was developed by Jean-Robert Argand in 1806 while he pursued math most likely as a hobby. When we represent a complex number geometrically as a point in a coordinate plane, we can also say that we are plotting the complex number.

## Graphing complex numbers on the complex plane. See some examples below:

Graph 3 - 4i, -5, and 6i on the complex number plane.

First notice that -5 = -5 + 0i and 6i = 0 + 6i

We plot 3 - 4i, -5 + 0i, and 0 + 6i the same way we plot (3, -4), (-5, 0), and (0, 6) in the rectangular coordinate system. ## Recent Articles 1. ### High School Math Teacher

Jan 20, 20 01:57 PM

Top-notch information for those who want to become a high school math teacher. All important stuff that you need to know before making a move can be found right here on this website.

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius! Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.