Question

A line containing the points (−2, 3)
and (2, 3)
is reflected across the x
-axis. How long is the reflected line?(1 point)
Responses

4 units
4 units

3 units
3 units

not enough information
not enough information

infinitely long

Answer 1

The line containing the points (-2, 3) and (2, 3) is a horizontal line located at \(y = 3\). When this line is reflected across the x-axis, every point (x, y) on the line gets reflected to (x, -y).

So, the points after reflection will be (-2, -3) and (2, -3). The reflected line will still be horizontal and will now be located at \(y = -3\).

The length of the line segment between the reflected points (-2, -3) and (2, -3) can be calculated as follows:

1. Find the distance between the two x-coordinates:
\[
2 - (-2) = 2 + 2 = 4 \text{ units}
\]

Therefore, the length of the reflected line is **4 units**.

The correct response is:
**4 units**.