Challenging +1.2 This requires multiple coordinated steps: finding the perpendicular from (-1,3) to the line, solving simultaneously for the foot of perpendicular, then using midpoint properties to find the reflection. While each individual step uses standard techniques (perpendicular gradients, simultaneous equations, midpoint formula), the multi-step coordination and spatial reasoning elevate this above routine exercises.
7 The point $R$ is the reflection of the point $( - 1,3 )$ in the line $3 y + 2 x = 33$. Find by calculation the coordinates of $R$.
\hfill \mbox{\textit{CAIE P1 2013 Q7 [7]}}