Equation of the line passing through the point  −1,2,−3and perpendicular to the plane2x+3y+z+5=0

The direction ratios of any line perpendicular to the plane  ax+by+cz+d=0are proportional toa,b,cThe equation of the line passing through the point  x1,y1,z1and parallel to the line whose direction ratios are a,b,cisx−x1a=y−y1b=z−z1cHence, the equation of the line passing through the point   −1,2,−3and perpendicular to the plane  2x+3y+z+5=0is  x+12=y−23=z+31