A line containing the points (−2, 3)

Question

and (2, 3)
is reflected across the x
-axis. How long is the reflected line?(1 point)
Responses

4 units
4 units

not enough information
not enough information

infinitely long
infinitely long

3 units

Answer 1

To determine the length of the line after reflecting it across the x-axis, we first note the original points provided:

• Point A: \((-2, 3)\)
• Point B: \((2, 3)\)

The distance between these two points is calculated as follows:

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

When the line is reflected across the x-axis, the y-coordinates of the points change their signs:

• Reflected Point A: \((-2, -3)\)
• Reflected Point B: \((2, -3)\)

These points form a new line segment between \((-2, -3)\) and \((2, -3)\). We can determine the distance of this reflected line segment in the same way:

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

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

The correct response is: 4 units.