Question 933213
To find the slope, solve for y.
{{{2x+3y=12}}}--->{{{3y=-2x+12}}}--->{{{y=(-2x+12)/3}}}--->{{{y=-2x/3+12/3}}}--->{{{y=(-2/3)x+4}}} .
The {{{highlight(-2/3)}}} multiplying the {{{x}}} is the slope.
It means that as {{{x}}} increases by {{{1}}}, {{{y}}} increases by {{{-2/3}}} 
(meaning that {{{y}}} decreases by {{{2/3}}} ).
It can also be seen as when {{{x}}} increase by {{{3}}} , {{{y}}} decreases by {{{2}}} .