Question 951698
to find the slope of the line with the equation {{{2x + 3y + 6 = 0}}} write it in a slope-intercept form {{{y=mx+b}}} where {{{m}}} is a slope and {{{b}}} is y-intercept

{{{2x + 3y + 6 = 0}}}

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

{{{ 3y + 6 = -2x}}}

{{{ 3y + 6-6 = -2x-6}}}

{{{ 3y  = -2x-6}}}

{{{ 3y/3  = -2x/3-6/3}}}

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

so, a slope is {{{m=-(2/3)}}}

your answer is:

D.{{{ -2/3}}}