# Converting Linear Equations in Standard Form to Two Points Form

The general equation or standard equation of a straight line is:

Where $a$ and $b$ are constants and either $a \ne 0$ or $b \ne 0$.

Putting $y = 0$ in the above standard equation of a line, we have

This shows that the line is passing through the point $\left( { - \frac{c}{a},0} \right)$.

Now, similarly, by putting $x = 0$ in the same equation of a straight line, we have

This shows that the line is passing through the point $\left( {0, - \frac{c}{b}} \right)$.

Now the equation of a straight line passing through two points $\left( { - \frac{c}{a},0} \right)$ and $\left( {0, - \frac{c}{b}} \right)$ is

This is the equation of a line in two-point form transformed from its general form or standard form. It is noted that the transformation of the equation of a line from its general or standard form to a point slope form and a two points form is the same.