How does slope intercept form differ from standard form?

1 Answer
Apr 3, 2015

Slope intercept form:
#y = mx + 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:
#ax + bx + 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 = #|(ax + by + c)/sqrt(a^2 + b^2)|#