Question 148959
2x+3y+6=0


First isolate y
Move 2x and 6 to the other side:
3y=-2x-6


Divide it all by 3
y=-2/3x-2


y=mx+b, where m is the slope
-2/3 takes the place of m in 
y=-2/3x-2


so slope= -2/3