Okay, so slope-intercept form is y=mx+b, where "m" is the slope and "b" is the y-intercept.
2x-6y=6 (Add 6y to both sides)
2x=6y+6 (subtract 6 from both sides)
6y= 2x - 6 (divide all terms by 6 to isolate the y)
y = 2/6x - 1 (simplify your fraction)
y = 1/3x -1
And there you go.
