If a line segment with endpoints (6, 3) and (6, 7) is translated 3 units up and 4 units to the right, how long is the line segment after the translation?(1 point)

Question

Responses

4 units
4 units

10 units
10 units

0 units
0 units

There is not enough information to measure the line segment.

Answer 1

To find the length of the line segment after the translation, we can use the distance formula.

The distance formula is given by: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the given endpoints (6, 3) and (6, 7), we can calculate the length of the original line segment as follows:

d = sqrt((6 - 6)^2 + (7 - 3)^2)
= sqrt(0 + 16)
= sqrt(16)
= 4 units

After the translation of 3 units up and 4 units to the right, the line segment will remain the same length. Therefore, the length of the line segment after the translation is 4 units.

Thus, the correct answer is:
4 units