Question

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

not enough information
not enough information

3 units
3 units

4 units
4 units

infinitely long

Answer 1

To determine the length of the line after it is reflected across the x-axis, we first need to consider the original points. The points given are \((-2, 3)\) and \((2, 3)\).

These two points share the same y-coordinate, which means they are horizontally aligned at \(y = 3\). The distance between these two points can be calculated using the distance formula or by simply finding the difference in their x-coordinates:

\[
\text{Length} = |x_2 - x_1| = |2 - (-2)| = |2 + 2| = |4| = 4 \text{ units}
\]

When this line is reflected across the x-axis, the y-coordinates of the points change sign but the distance between the points remains the same. Thus, the reflected points become \((-2, -3)\) and \((2, -3)\).

The reflected line will also have the same length as the original line, which remains 4 units.

The answer is:

**4 units**