Question 1120869
A line parallel to one with equation {{{Ax+By+C=0}}} will have slope  {{{-A/B}}}.   A line perpendicular will have slope of  {{{B/A}}}.


Your example question requires slope {{{-3/2}}}.


Starting with the point-slope equation form, the equation you want is  {{{y-3=-(3/2)(x+2)}}}.