There are many different ways that you can express the equation of a line. There is the slope intercept form, point slope form and also this page's topic. Each one expresses the equation of a line, and each one has its own pros and cons. For instance, point slope form makes it easy to find the line's equation when you only know the slope and a single point on the line. Standard form also has some distinct uses, but more on that later.

Definition of Standard form Equation

The Standard Form equation of a line has the following formula:

$
\text{Formula } :
\\
Ax + By = C
\\
A \ne 0
\\
B \ne 0
$

General Formula for x and y-intercepts

For the equation of a line in the standard form,
$$ Ax + By = C $$
where
$$ A \ne 0 $$
and
$$ B \ne 0$$,
you can use the formulas below to find the x and y-intercepts.

$
\text{X Intercept: }
\\
\frac C A = \frac 6 3 = 2
$

$
\text{Y Intercept: }
\\
\frac C B = \frac 6 2 = 3
$