If point P left parenthesis 4 comma 11 right parenthesis is reflected across the line y = 3, what are the coordinates of its reflection image?
(1 point)
Responses
left parenthesis 2 comma 11 right parenthesis
Image with alt text: left parenthesis 2 comma 11 right parenthesis
left parenthesis 11 comma 4 right parenthesis
Image with alt text: left parenthesis 11 comma 4 right parenthesis
left parenthesis 4 comma negative 11 right parenthesis
Image with alt text: left parenthesis 4 comma negative 11 right parenthesis
left parenthesis 4 comma negative 5 right parenthesis
The coordinates of the reflection image of point P (4, 11) across the line y = 3 are (4, -5).
To reflect a point across a line, we can find the line of reflection by moving the same distance in the opposite direction from the point to the line. In this case, the line of reflection is y = 3, and the point P is (4, 11).
The distance from point P to the line y = 3 is 11 - 3 = 8. To reflect the point across the line, we need to move 8 units in the opposite direction, which means subtracting 8 from the y-coordinate.
Therefore, the coordinates of the reflection image of point P are (4, 11 - 8), which simplifies to (4, 3).