Question 109604
{{{y + 1/2= - (1/3) ( x + 1/2)}}}………multiply both sides by {{{6}}}

{{{6y + (1/2)*6= - (1/3)*6 ( x + 1/2))}}}………

{{{6y +  3 = - 2 ( x + 1/2)}}}………

{{{6y +  3 = - 2x + 1}}}………move {{{- 2  x + 1}}} left

{{{6y  +  2  x  + 3 + 1 = 0}}}………

{{{6y  +  2  x  + 4 = 0}}}………divide both sides by {{{2}}}

{{{3y  +  x  + 2 = 0}}}………

Or
{{{y = - x/3  - 2/3 }}}………