Question 87451
2X+3Y=6
3Y=-2X+6
Y=-2X/3+6/3
Y=-2X/3+2
SETTING X=0 WE GET 
Y=-2*0/3+2
Y=2 THUS WE HAVE THE POINT (0,2)
NOW SET Y=0 & SOLVE FOR X
0=-2X/3+2
-2X/3=-2
-2X=-6
X=-6/-2
X=3 THUS WE HAVE THE POINT (3,0).
NOW PLOT THESE 2 POINTS AND DRAW A LINE THROUGH THEM THUS:
{{{ graph( 300, 200, -6, 5, -10, 10, y = -2x/3 +2) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x/3 +2).