Question 52949
Always solve for y!  So, add 3y to both sides to get 2x=3y+6.  Now subtract 6 from both sides to get 2x-6=3y.  Dividing both sides by 3 we get {{{(2/3)x-2=y}}}.  We now have a line in the format y=mx+b, where m is the slope; that means the slope of our line is {{{2/3}}}.  To find the y-intercept, we use x=0 in the equation and we get y=-2, or the ordered pair (0,-2).  The graph is:
{{{graph(300,300,-5,5,-5,5,(2/3)x-2))}}}