Question 1106593
The way the description goes, you called both lines line "L", so they need to be the same line and each should have the same or equivalent equations.  According to your description, points R, S, and Q need to all be on this same line.  


Slope for RS:
{{{(5-3)/(1-4)}}}

{{{2/(-3)}}}

{{{-2/3}}}


Slope of RQ and of SQ should also be that same value, because "line L" given for both pairs of points.
Slope for RQ:
{{{(3-2)/(4-1)}}}

{{{1/3}}}


NOT the same slope, since  {{{-2/3<>1/3}}}.  


These can NOT both be line L.


Fix the problem description; maybe call one of the lines something other than "L".