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 units3 units3 unitsnot enough informationnot enough informationinfinitely long

Answer 1

When the line is reflected across the x-axis, the y-coordinates of the points will change sign, while the x-coordinates will remain the same.

The line containing the points (-2, 3) and (2, 3) is a horizontal line with a y-coordinate of 3. When reflected across the x-axis, the line will still be horizontal, but the y-coordinate will change sign.

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

The length of this line can be found using the distance formula:

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

In this case, the length of the reflected line is:

Distance = sqrt((2 - (-2))^2 + (-3 - (-3))^2)

Distance = sqrt((2 + 2)^2 + (0)^2)

Distance = sqrt(4^2 + 0^2)

Distance = sqrt(16 + 0)

Distance = sqrt(16)

Distance = 4

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