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

To find the new coordinates after the translation, we add the components of the translation vector to the corresponding coordinates of the original point.

Original coordinates: \((-2, -5)\)
Translation vector: \(\langle 2, -3 \rangle\)

Now, we perform the translation:

- New x-coordinate = original x-coordinate + translation x-component
\(-2 + 2 = 0\)

- New y-coordinate = original y-coordinate + translation y-component
\(-5 + (-3) = -5 - 3 = -8\)

So, the resulting coordinates after the translation will be \((0, -8)\).

Therefore, the correct answer is:

**(0, −8)**