Use the figure above as a reference. Identify the vertices of the rectangle before translation, the vertices are (-4,5), (1, 5), (-4,-2), and (1, -2). After translation of 6 units to the left, only the x-coordinates of the vertices are affected. Since the translation is to the left, subtract 6 from the x values of the vertices. Therefore, the vertices after translation are: (-10, 5), (-5, 5); (-10, -2) and (-5, -2).
The ordered pair not in the new set of vertices is (2, -2).