# Converting Linear Equations in Standard Form to Intercepts Form

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

Where $a$ and $b$ are any constants and also either $a \ne 0$ or $b \ne 0$.
Now to convert this linear equation in standard form to intercepts form i.e. $X$-intercept and $Y$-intercept, by definition intercepts form is written as

The procedure of converting standard form to intercepts form, take the constant value $c$ move on left hand side then dividing by $c$ on both sides of equation to $1$ on the right hand side as follows

Dividing $- c$ on both sides of the above equation

This is equation of line intercepts form with $X$-intercept $- \frac{c}{a}$ and $Y$-intercept $- \frac{c}{b}$.

Example: Convert the equation $2x + 5y - 6 = 0$ into intercepts form.
We have equation of line in standard form is $2x + 5y - 6 = 0$

Compare with intercepts form $\frac{x}{a} + \frac{y}{b} = 1$, where $X$-intercept is $3$ and $Y$-intercept $\frac{6}{5}$.