The general equation or standard equation of a straight line is given by

Where

and

are any constants and also either

or

.

Convert the standard equation of line

into the normal form

The procedure of converting into normal form as follows

Dividing on both sides

of the equation, we have

This is equation of line in normal form, where

is the length of normal form the origin of the line. Since the length of the normal form origin to the line must be positive, so

(i)

is the normal form of line if

.

(ii)

is the normal form of line if

.
Example: Convert the equation

into normal form.
We have equation of line in standard form is

Dividing by normalizing factor on both sides

of the equation, we have

Compare with normal form of a line

, where

,

and

.

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