Final answer:
The student needs to provide the translation vector T to determine the new y-coordinate of the point (0, 7) after a translation. Without this information, we cannot find the new coordinates of the point.
Step-by-step explanation:
The student is asking about the result of a translation applied to the point (0, 7). A translation in mathematics is a function that moves every point a certain distance in a specific direction, but because the student has not provided the translation vector T, we cannot give a precise answer. To complete such a translation, we would typically be given a vector in the form (dx, dy), where dx and dy represent the horizontal and vertical distances, respectively, that each point should be moved.
Since the original point is (0, 7), if we knew T was, for example, (2, -3), the translated point would be (0+2, 7-3), which results in (2, 4). Without knowing the translation vector T, we cannot determine the new y-coordinate of the point. In general, if the translation vector is (dx, dy), the new coordinates of a point (x, y) after translation would be (x+dx, y+dy).