Complex Conjugate Coordinates/Examples/2x + y = 5

Example of Complex Conjugate Coordinates
The equation of the straight line in the plane:
 * $2 x + y = 5$

can be expressed in complex conjugate coordinates as:
 * $\paren {2 i + 1} z + \paren {2 i - 1} \overline z = 10 i$

Proof
We have that:

and so:

Hence: