Question 1058192
There is the "y equals mx+b" form of a straight line:

    {{{ y=mx+b  }}}
…
where:
    m = slope
    b = y-intercept
—

 So the strategy for this problem is to re-arrange what you are given into the above form.

{{{ 2x + 3y = -3 }}}
{{{  3y = -3 - 2x }}}
{{{  y = (-3-2x)/3 }}}
{{{ y = -(2/3)x - 1 }}}

So the slope is {{{ -2/3 }}}