# How does slope intercept form differ from standard form?

Apr 3, 2015

Slope intercept form:
$y = m x + c$

where $m$ is the slope and $c$ the y-intercept

so this form shows you the gradient and the intercept of a line only.

Whereas, the standard from:
$a x + b x + c = 0$

where $a , b$ and $c$ are just constants.
This form doesn't show you gradient nor intercept,
on the other hand its useful when applying some formulae such as,

the perpendicular distance between a point and a line:

Distance = $| \frac{a x + b y + c}{\sqrt{{a}^{2} + {b}^{2}}} |$