\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(A(2,\ -1)\) and \(M(3,\ 1)\). The point \(M'\) is the image of \(M\) by the homothety of center \(A\) and ratio \(k=-2\) so that \(\,\Vect{AM'} = -2\,\Vect{AM}\).
Find the coordinates of \(M'\).
\(M' = (\)
,
\()\)