slope =

the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange x - 6y + 12 = 0 ( subtract x + 12 from both sides )
- 6y = - x - 12 ( divide all terms by - 6 )
y =
x + 2 ← in slope-intercept form
with slope m =
