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)
Responses
0 units
0 units
10 units
10 units
4 units
4 units
There is not enough information to measure the line segment.
To find the length of the line segment, we can use the distance formula.
Before the translation, the endpoints of the line segment are at (6, 3) and (6, 7).
After the translation, the new endpoints are (6 + 4, 3 + 3) and (6 + 4, 7 + 3).
So, the new endpoints are (10, 6) and (10, 10).
Using the distance formula, we can find the distance between these two endpoints.
Distance = √[(10 - 10)^2 + (10 - 6)^2]
Distance = √[(0)^2 + (4)^2]
Distance = √[0 + 16]
Distance = √16
Distance = 4
Therefore, the length of the line segment after the translation is 4 units.