Question

If a point P(–1, –1) is reflected across the line y = –2, what are the coordinates of its reflection image?

(–1, 5)
(5, –1)
(–3, –1)
(–1, –3)

Answer 1

Since the line of refrection is a horizontal line, the x-coordinate of the image will be the same as the x-coordinate of the point P(-1, -1). P(-1, -1) is one unit above the line y = -2, hence the image will be one unit below the line y = -2. Therefore the coordinate of the image is (-1, -3)