9 The points \(A\) and \(B\) have coordinates \(( - 5 , - 2 )\) and \(( 3,1 )\) respectively.
- Find the equation of the line \(A B\), giving your answer in the form \(a x + b y + c = 0\).
- Find the coordinates of the mid-point of \(A B\).
The point \(C\) has coordinates (-3,4).
- Calculate the length of \(A C\), giving your answer in simplified surd form.
- Determine whether the line \(A C\) is perpendicular to the line \(B C\), showing all your working.