Question

determine the coordinates of w (-7, 4) after a reflection in the line y = 9.

Explanation:

Step1: Find vertical distance to line

The vertical distance between the y-coordinate of $W$ ($4$) and the line $y=9$ is $9 - 4 = 5$.

Step2: Reflect across the line

To find the new y-coordinate, add this distance to the line's y-value: $9 + 5 = 14$. The x-coordinate stays the same ($-7$).

Answer:

$(-7, 14)$