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

3 units
infinitely long
4 units
not enough information

1 answer

When a line is reflected across the x-axis, the y-coordinate of each point is negated. So, for the points (-2, 3) and (2, 3), the y-coordinate becomes -3 after reflection.

The length of the reflected line is determined by the horizontal distance between the x-coordinates of the original line. In this case, the x-coordinate does not change after reflection since the line is parallel to the x-axis.

The horizontal distance between -2 and 2 is 4 units. Therefore, the length of the reflected line is 4 units.

Therefore, the correct answer is 4 units.
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