The potential coordinate for the third vertex of the right triangle, given the vertices at (6, -2) and (1, 6), is (1, -2), as it aligns perfectly to form a right angle with the given vertices.
To identify the coordinates of the third vertex of a right triangle with two given vertices, (6, -2) and (1, 6), we should look for points that are either vertically or horizontally aligned with one of the existing vertices, as these positions would possibly complete a right angle.
(1, -2) is a potential third vertex because it is vertically aligned with (1, 6) and horizontally aligned with (6, -2).
(1, 1) is not aligned either horizontally or vertically with the given vertices, so it cannot be a third vertex of a right triangle.
(6, 6) is vertically aligned with (6, -2), but won't form a right triangle with (1, 6) and the other point.
(-2, 1) does not align either horizontally or vertically with any of the vertices, so it cannot be a third vertex of a right triangle.
In conclusion, the coordinate that could represent the third vertex of this right triangle is (1, -2).