If a line segment with endpoints (6,3) and(6,7 is translated three units up and four units to the right how long is the line segment after the translation?
The original line segment has a length of 4 units, since it is 4 units long vertically (from y=3 to y=7) and 0 units long horizontally (since both endpoints are at x=6).
After the translation, the new endpoints are (10,6) and (10,10). The new line segment is also 4 units long vertically (from y=6 to y=10) and 0 units long horizontally (both endpoints are at x=10).
Therefore, the length of the line segment after the translation is still 4 units.