0606 P23 - Jun 2022 - Q3 - 5 marks
7837
The points \(A\), \(B\) and \(C\) have coordinates \((2,6)\), \((6,1)\) and \((p,q)\), respectively. The point \(B\) is the midpoint of \(AC\). Find the equation of the line through \(C\) that is perpendicular to \(AB\), giving your answer in the form \(ax+by=c\), where \(a\), \(b\) and \(c\) are integers.
