Given the rule \( (x, y) \rightarrow(x+7, y-3) \) describe the transformation that occurs at any given point.

The rule \( (x, y) \rightarrow (x+7, y-3) \) describes a transformation of a point \((x, y)\) in the Cartesian coordinate system. Here's what happens during this transformation: 1. **Horizontal Shift**: The \(x\) coordinate of the point is increased by 7. This means that the point moves 7 units to the right on the x-axis. 2. **Vertical Shift**: The \(y\) coordinate of the point is decreased by 3. This means that the point moves 3 units down on the y-axis. In summary, the transformation takes any point \((x, y)\) and moves it to a new location \((x+7, y-3)\), resulting in a shift of 7 units to the right and 3 units down.