To find the image of the point $R(7, -2)$ after the transformation described by $(x, y) \to (x, -y)$, we apply the transformation rule to the coordinates:

1. The x-coordinate remains the same: $x = 7$.
2. The y-coordinate is negated: $y = -(-2) = 2$.

Thus, the coordinate of the image is $R'(7, 2)$.

Would you like further details or have any questions?

Here are 5 related questions to consider:

1. What is the general effect of a reflection over the x-axis on a point's coordinates?
2. How would the transformation $(x, y) \to (-x, y)$ affect a point?
3. What would happen to $R(7, -2)$ if the transformation were $(x, y) \to (-x, -y)$?
4. Can you describe the transformation $(x, y) \to (y, x)$ geometrically?
5. How does reflecting a point across both axes change its coordinates?

Tip: Reflections over the x-axis change the sign of the y-coordinate, while reflections over the y-axis change the sign of the x-coordinate.