6. The point \(A\) has coordinates \(( - 4,11 )\) and the point \(B\) has coordinates \(( 8,2 )\).
- Find the gradient of the line \(A B\), giving your answer as a fully simplified fraction.
The point \(M\) is the midpoint of \(A B\). The line \(l\) passes through \(M\) and is perpendicular to \(A B\).
- Find an equation for \(l\), giving your answer in the form \(p x + q y + r = 0\) where \(p , q\) and \(r\) are integers to be found.
The point \(C\) lies on \(l\) such that the area of triangle \(A B C\) is 37.5 square units.
- Find the two possible pairs of coordinates of point \(C\).
| VIXV SIHIANI III IM IONOO | VIAV SIHI NI JYHAM ION OO | VI4V SIHI NI JLIYM ION OO |