How to Graph Complex Numbers

How to Graph Complex Numbers

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Graphing Complex Numbers

To plot complex numbers on the complex plane, follow the steps below.

• Find out what part of the given complex number is real and what part is imaginary. For example, the real part of \(z \ = \ a \ + \ ib\) is \(a\), and the imaginary part is \(b\).
• Make a pair where the first part is real and the second part is imaginary.
  For example, the ordered pair for \(z \ = \ a \ + \ ib\) is \((a \ , \ b)\)
• Mark on the plane the point \((a \ , \ b)\).

Example

Plot \(z \ = \ 2 \ + \ 3i\)

Solution:

The real number is \(2\), and the imaginary number is \(3\). So, the ordered pair is \((2 \ , \ 3)\).

The graph below shows the complex number \(z \ = \ 2 \ + \ 3i\):

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