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Thread: In complex numbers - equation of straight line

  1. #1
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    In complex numbers - equation of straight line

    Hello everyone
    Please let me know what this say :
    "Show that the point representing (z1+z2)/2 is the midpoint of the line segment joining the points for z1 and z2"
    This means I should write equation of straight line of two complex number ? How can I do it and solve it , I'm little confused !
    Thanks
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  2. #2
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    Re: In complex numbers - equation of straight line

    Hey mohammad.

    If you know the equation of a line in two dimensions then you can use that.

    Instead of x and y, you need to extract them out of z (a complex number) where z = x + iy.

    You can get these values based on the complex conjugate.
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  3. #3
    MHF Contributor
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    Re: In complex numbers - equation of straight line

    Also - You can write the equation of a line in vector form as p(t) = a + (b-a)t where t is a real number and a, b are points on the same line.

    This might be a lot easier to do than the above.
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