You can put this solution on YOUR website! X+3Y=6
3Y=-X+6
Y=-X/3+6/3
Y=-X/3+2 SETTING Y=0 WE GET
0=-X/3+2
-X/3=-2
-X=-6
X=6 OR (6,0) IS THE X INTERCEPT
& THE Y INTERCEPT IS 2 OR (0,2)
PROOF (graph 300x200 pixels, x from -6 to 8, y from -10 to 10, y = -x/3 +2).