Question

nslate the line segment with endpoints (0, 0)
and (5, 4)
up 3 units and left 2 units. What are the new endpoints?(1 point)
The new endpoint for (0, 0)
is: (
).
The new endpoint for (5, 4)
is: (
).

Answer 1

To translate the line segment with endpoints (0, 0) and (5, 4) up 3 units and left 2 units, we perform the following operations on each endpoint:

1. **Translate up 3 units:** This means we add 3 to the y-coordinate.
2. **Translate left 2 units:** This means we subtract 2 from the x-coordinate.

Now we apply these translations to each endpoint.

**For the endpoint (0, 0):**
- New x-coordinate: \(0 - 2 = -2\)
- New y-coordinate: \(0 + 3 = 3\)

New endpoint: \((-2, 3)\).

**For the endpoint (5, 4):**
- New x-coordinate: \(5 - 2 = 3\)
- New y-coordinate: \(4 + 3 = 7\)

New endpoint: \((3, 7)\).

Therefore, the new endpoints are:
- The new endpoint for (0, 0) is: **(-2, 3)**.
- The new endpoint for (5, 4) is: **(3, 7)**.