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 intercept
2x + 3y = 12
subtract 2x from both sides
3y = -2x + 12
divide both sides by 3
y = -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 + 4
y = 0
0 = -2/3x + 4
subtract 4 from both sides
-4 = -2/3x
divide both sides by -2/3
6 = x
the 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.
