. If point P (2,-8) is reflected across the line y = -2, what are the coordinates of its reflection image? Write your answer as a coordinate point.

Answer 1

To find the reflection image of point P (2,-8) across the line y = -2, we can use the formula for reflecting a point across a line:

For a point (x,y) reflected across the line y = c, the reflection image is given by (x, 2c - y).

In this case, y = -2, so the y-coordinate of the reflection image will be 2(-2) - (-8) = 4 + 8 = 12.

Therefore, the reflection image of point P (2,-8) across the line y = -2 is (2,12).