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

Question

Responses

4 units
4 units
3 units
3 units
infinitely long
infinitely long
not enough information

Answer 1

When a line is reflected across the x-axis, the y-coordinates of the points are negated.

So, the reflected line will contain the points (-2, -3) and (2, -3).

The length of the line is the distance between these two points, which can be calculated using the distance formula:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

For this specific case, the length of the line is:

d = √[(2 - (-2))^2 + (-3 - (-3))^2]
= √[(4)^2 + (0)^2]
= √[16 + 0]
= √16
= 4 units

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