Question

How does slope intercept form differ from standard form?

Answer 1

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)|`