a line containing the points (-2,3) and (2,3) is reflected across the x-axis. how long is the reflected line
When a line is reflected across the x-axis, the y-coordinates of the points on the line change sign.
The points (-2,3) and (2,3) have the same y-coordinate, so when reflected across the x-axis, they become (-2,-3) and (2,-3).
To find the length of the reflected line, we use the distance formula:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
Using the points (-2,-3) and (2,-3), the length of the reflected line is:
d = sqrt((2-(-2))^2 + (-3-(-3))^2) = sqrt((4)^2 + (0)^2) = sqrt(16) = 4 units.
Therefore, the length of the reflected line is 4 units.