The points \(A\), \(B\) and \(C\) have coordinates \((4,7)\), \((-3,9)\) and \((6,4)\) respectively.

(i) Find the equation of the line \(L\), that is parallel to the line \(AB\) and passes through \(C\). Give your answer in the form \(ax+by=c\), where \(a\), \(b\) and \(c\) are integers.

(ii) The line \(L\) meets the \(x\)-axis at the point \(D\) and the \(y\)-axis at the point \(E\). Find the length of \(DE\).