y=mx+b(m is the slope and b is y intercept.)
2x + 3y + 6 = 0
This is done by subtracting 2x from both sides
2x - 2x + 3y + 6 = 0-2x
on the left side 2x-2x cancel out and on the right side 0-2x leaves -2x so we get this
3y + 6 = -2x
next move 6 following the same procedure
3y + 6 - 6 = -2x - 6
3y = -2x - 6
finally isolate y by dividing by 3 across the equation
Now that we have convert the equation to slope intercept form we can identify the slope, which is:
-2/3