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1. The slope of the line joining \((12,3)\), \((4,a)\) is \(\frac{1}{8}\). The value of '\(a\)' is .
 
2. The slope of the line which is perpendicular to a line joining the points \((0,0)\) and \((-8,8)\) is .
 
3. If slope of the line \(PQ\) is \(\frac{1}{\sqrt{3}}\) then slope of the perpendicular bisector of \(PQ\) is
 
4. When proving that a quadrilateral is a parallelogram by using slopes you must find: