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

not enough information
not enough information

infinitely long
infinitely long

3 units
3 units
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Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the line is reflected across the x-axis, the y-coordinates of the points will change sign. The reflected line will contain the points (-2, -3) and (2, -3).

The length of the reflected line can be calculated using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the points (-2, -3) and (2, -3), we can calculate the length of the reflected line:

d = sqrt((2 - (-2))^2 + (-3 - (-3))^2)
= sqrt(4^2 + 0^2)
= sqrt(16 + 0)
= sqrt(16)
= 4 units

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