Final answer:
After translating the point (-2, -7) right 4 units and down 2 units, the image point becomes (2, -9).
Step-by-step explanation:
The student is asking about the image point after performing a translation on the point (-2, -7). When you translate a point to the right 4 units, you add 4 to the x-coordinate. Similarly, translating a point down 2 units means you subtract 2 from the y-coordinate. Therefore, starting with the point (-2, -7), after adding 4 to the x-coordinate and subtracting 2 from the y-coordinate, we get the new point (2,-9).
The new image point is found using the following steps:
- Translate right 4 units: Add 4 to the x-coordinate (-2 + 4 = 2).
- Translate down 2 units: Subtract 2 from the y-coordinate (-7 - 2 = -9).
The final image point is (2, -9).