3x + 2y = 6
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = -
and c = 3
y = -
x + 3 ← in slope-intercept form
multiply through by 2
2y = - 3x + 6 ( add 3x to both sides )
3x + 2y = 6 ← in standard form