5. The line \(l _ { 1 }\) has equation \(y = - 2 x + 3\)
The line \(l _ { 2 }\) is perpendicular to \(l _ { 1 }\) and passes through the point \(( 5,6 )\).
- Find an equation for \(l _ { 2 }\) in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.
The line \(l _ { 2 }\) crosses the \(x\)-axis at the point \(A\) and the \(y\)-axis at the point \(B\).
- Find the \(x\)-coordinate of \(A\) and the \(y\)-coordinate of \(B\).
Given that \(O\) is the origin,
- find the area of the triangle \(O A B\).