The length of a line is calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points (-2, 3) and (2, 3) are reflected across the x-axis, meaning that the y-coordinates are negated.
The reflected points will be (-2, -3) and (2, -3).
Using the distance formula, we calculate the length of the reflected line:
d = √((2 - (-2))^2 + (-3 - 3)^2)
d = √(4^2 + (-6)^2)
d = √(16 + 36)
d = √52
d ≈ 7.21
Therefore, the length of the reflected line is approximately 7.21 units.
A line containing the points (-2, 3) and (2, 3) is reflected across the x-axis. How long is the reflected line ?
1 answer