# In complex numbers - equation of straight line

Printable View

• Feb 21st 2016, 07:05 AM
mohammad2232
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 ! [emoji4]
Thanks
• Feb 21st 2016, 09:38 PM
chiro
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.
• Feb 21st 2016, 10:02 PM
chiro
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.