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Math Help - Complex numbers - set of points

  1. #1
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    Complex numbers - set of points

    Can someone please help me describe this set of points



    {z ∈ C | Im(z) = 2 Re(z) − 2}
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  2. #2
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    Re: Complex numbers - set of points

    Quote Originally Posted by Tala View Post
    Can someone please help me describe this set of points
    {z ∈ C | Im(z) = 2 Re(z) − 2}
    That is just the set \{(x,y)|~y=2x-2\}.
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  3. #3
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    Re: Complex numbers - set of points

    But how do I draw it in the complex plane?
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    Re: Complex numbers - set of points

    Quote Originally Posted by Tala View Post
    But how do I draw it in the complex plane?
    The same way you graph it in R^2.

    \text{Re}(z) is the x\text{-axis} and \text{Im}(z) is the y\text{-axis}.

    It is a line.
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  5. #5
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    Re: Complex numbers - set of points

    But how do I plot this in Re(z)-2 ?
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    Re: Complex numbers - set of points

    Quote Originally Posted by Tala View Post
    But how do I plot this in Re(z)-2 ?
    Can you plot y=2x-2~? If you can that is the same graph as \text{Im}(z)=2\text{Re}(z)-2
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