Question

If coordinates (-2, -5) undergo a translation vector of < 2, -3 > in the coordinate plane, what would the resulting coordinates be?
(1 point)

Answer 1

To find the new coordinates after applying the translation vector <2, -3> to the initial coordinates (-2, -5), you need to add the respective components of the translation vector to the coordinate points.

The original coordinates are:
- x-coordinate: -2
- y-coordinate: -5

The translation vector <2, -3> means:
- Add 2 to the x-coordinate
- Subtract 3 from the y-coordinate

Now, calculate the new coordinates:

1. New x-coordinate: -2 + 2 = 0
2. New y-coordinate: -5 - 3 = -8

So, the resulting coordinates after the translation are (0, -8).