Question 50001
y=mx+b [Use the slope-intercept form]
2X+3Y=6 [Solve for y]
3y=-2x+6
3y/3=-2x/3+6/3
y=-2/3x+2
.
y=the value for y
m=the slope
x=the corrresponding value of x
b=the y-intercept (x=0, y=b)
.
Start at the y-intercept which is (0, 2).  Since the slope is -2/3, move down two spaces and over to the right three spaces.  Plot the point (3, 0).  From this point, repeat the process.
.
Return to the starting point (0,2).  Since the slope is also (2/-3), move up two spaces and three spaces to the left.  Plot point (-3, 4). From this point, repeat the process.  

You should now be able to connect the dots to get the graph of the line.
{{{ graph( 300, 200, -6, 5, -10, 10, (-2/3)x+2) }}}