To translate a line segment, we adjust the coordinates of its endpoints according to the specified movements. In this case, we need to move the endpoints up 3 units and left 2 units.
-
Start with the original endpoints:
- Endpoint 1: \((0, 0)\)
- Endpoint 2: \((5, 4)\)
-
Translate the endpoints:
- Moving up 3 units means adding 3 to the y-coordinate.
- Moving left 2 units means subtracting 2 from the x-coordinate.
Applying these changes:
-
For endpoint \((0, 0)\):
- New x-coordinate: \(0 - 2 = -2\)
- New y-coordinate: \(0 + 3 = 3\)
- New endpoint: \((-2, 3)\)
-
For endpoint \((5, 4)\):
- New x-coordinate: \(5 - 2 = 3\)
- New y-coordinate: \(4 + 3 = 7\)
- New endpoint: \((3, 7)\)
Thus, the new endpoints after the translation are \((-2, 3)\) and \((3, 7)\).
1 answer