The general equation or standard equation of a straight line is:
In which, and are constants and either or .
Now to convert this linear equation in standard form to the intercepts form, i.e. -intercept and -intercept, by definition the intercepts form is written as
To convert an equation from standard form to intercepts form, take the constant value and move it to the left hand side. Then divide both sides of the equation by and on the right hand side as follows:
Divide both sides of the above equation by :
This is the equation of a line intercepts form with the -intercept and the -intercept .
Example: Convert the equation into the intercepts form.
We have the equation of a line in standard form as
Compare with the intercepts form , where the -intercept is and the -intercept is .