Find the value of '\(a\)', if the line through \((-2,4)\) and \((7,7)\) is perpendicular to \(y = ax + 2\).
 
Answer:
 
If \(m_{1}\) and \(m_{2}\) are the slopes of the straight lines, then the condition for the two lines to be perpendicular is .
 
 
The value of \(a\) is .