- The line \(x = 8\) is a directrix of the ellipse with equation
$$\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1 , \quad a > 0 , b > 0$$
and the point \(( 2,0 )\) is the corresponding focus.
Find the value of \(a\) and the value of \(b\).