Answer:x intercept : (6,0)y intercept : (0,4)Graph: check attached image.Step-by-step explanation:First let's isolate y so that the equation is in slope intercept form , y = mx + b where m is the slope and b is the y intercept2x + 3y = 12subtract 2x from both sides 3y = -2x + 12divide both sides by 3y = -2/3 + 4 the y intercept is at (0,4) as 4 takes the spot of b which is the y intercept.To find the x intercept we set y to 0 and solve for x y = -2/3x + 4y = 00 = -2/3x + 4subtract 4 from both sides -4 = -2/3x divide both sides by -2/36 = xthe x intercept is at (6,0)To graph we put a point at (6,0) as well as (0,4)We then draw a line through the points.I recommend you use a ruler.It should look something like the graph in the attached image.