If point P(4,11) is reflected across the line y = 3, what are the coordinates of its reflection image?
(1 point)
The line y = 3 is a horizontal line passing through y = 3. To reflect a point across this line, we just need to take the y-coordinate of the original point and move it the same distance on the other side of the line.
The y-coordinate of point P is 11. The distance between y = 3 and 11 is 11 - 3 = 8 units. To move the y-coordinate on the other side of the line, we subtract this distance from 3.
So, the y-coordinate of the reflection image is 3 - 8 = -5.
The x-coordinate of the reflection image remains the same.
Therefore, the coordinates of the reflection image are (-4, -5).