A line containing the points (−2, 3) and (2, 3) is reflected across the x-axis. How long is the reflected line? (1 point)
Explain
When a line is reflected across the x-axis, the y-coordinate of each point is negated while the x-coordinate remains the same.
So the reflected line will have the points (−2, -3) and (2, -3).
To find the length of the reflected line, we use the distance formula: √((x2-x1)² + (y2-y1)²).
Using the coordinates of the reflected line, the distance formula becomes:
√((2-(-2))² + (-3-(-3))²) = √(4² + 0²) = √16 = 4.
Therefore, the length of the reflected line is 4 units.