7 The line \(L _ { 1 }\) passes through the points \(A ( 2,5 )\) and \(B ( 10,9 )\). The line \(L _ { 2 }\) is parallel to \(L _ { 1 }\) and passes through the origin. The point \(C\) lies on \(L _ { 2 }\) such that \(A C\) is perpendicular to \(L _ { 2 }\). Find
- the coordinates of \(C\),
- the distance \(A C\).