Answer:
y=-3/2x-2
Explanation:
simplify 3x+2y=6 first
-3x. -3x
2y= -3x+6
Divide by 2
y= -3/2x+3
since it's parallel you would use the same slope
slope= -3/2x
Now you need to find b (x-intercept)
point (-2,1)=(x,y) use this to plug into y=mx+b
=
(1)=-3/2(-2)+b (simplify)
1 = 3+b
-3 -3
-2= b
so put it together and get
y=-3/2x-2