Equation of a Straight Line:       

Equation of Straight Line Joining the Points z₁ and z₂:

Writing re-arranging terms, we calculate that the equation of the line through z₁ and z₂ is shown by 

Normal equation of a straight line is a, where a is a complex number and b is a real number.

The length of the line from a point z₁ to the line is shown by .

Example : Consider a and b be two fixed non-zero complex numbers and z a variable complex number. If the two straight lines  and  are mutually perpendicular, then prove that .

Solution:        Slope of the first line = -α/α

                        Slope of the second line = -β/β

                  Lines will be perpendicular if

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