Question 1024266
{{{2y+3x=k}}} for any real value k;


{{{2y=-3x+k}}}
{{{y=-(3/2)x+k/2}}}
Slope is {{{-3/2}}}; the slopes of perpendicular lines in a plane have a relationship, {{{m[a]m[b]=-1}}} and therefore the slope you are looking for is  {{{2/3}}}.