Question 547199
The easiest way to figure this out is to get the line into slope-intercept form (y=mx+b form).

{{{2x+3y+6=0}}}
{{{3y=-2x-6}}}
{{{y=-2/3*x-6/3}}}
{{{y=-2/3*x-2}}}

The slope is the m value in the above equation. 
This means that the slope of this line is {{{-2/3}}}