The point (2, -4) is reflected across the line y = -1. What are the coordinates of the image?

Solution:

In the figure, the object point is (2, -4) is shown by a reflection in the line y = -1

We see that,

1. X-coordinate is unaffected.

2. For reflections, the distance from line of reflection to the object is equal to the distance to the image point.

a = 1 + 2 = 3 units

Image point is 3 units from the line of reflection

x’ = 1 + 3 = 4 units

(2, -4) → (4, -4)

Therefore, the coordinates of the image is (4, -4).

The point (2, -4) is reflected across the line y = -1. What are the coordinates of the image?

Summary:

The point (2, -4) is reflected across the line y = -1. The coordinates of the image is (4, -4).