Answer: y=-1/3x-1
Explanation:
1) Isolate y by subtracting 3x from both sides.
3x+y=6 -> y=3x+6
2) Find the negative inverse of 3- which is -1/3.
3) Use y=mx+b and plug in what you know.
-3=-1/3(6)+b
4) Solve for b.
-3=-2+b
-1=b
5) Put it all together in y=mx+b format.
y=-1/3x-1