If and are non-zero and intercepts of a line , then its equation is of the form
Since is a -intercept of the line , as we know that any point lies on the -axis its value of is equal to zero, so it passes through the point . Also if is the -intercept of the line , and we know that any point lies on the -axis its value of is equal to zero, so it passes through the point as shown in the given diagram.
Now to prove intercepts form of a line, use the formula for two points form of a straight line as given by
Take and , putting these values in the above formula as
Which is the required equation of straight line in intercepts form.
Example: Find the equation of straight with -intercept and -intercept .
From the above information we have -intercept is and -intercept is , now putting all these values in the formula of intercepts form as given
Which is the required equation of straight line.