# Thread: In complex numbers - equation of straight line

1. ## 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

2. ## Re: In complex numbers - equation of straight line

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.

3. ## 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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# equation of straight line in complex numbers

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