If coordinates (−2,−5)

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

(4,2)
left parenthesis 4 comma 2 right parenthesis

(4,−2)
left parenthesis 4 comma negative 2 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

(0,−8)

1 answer

To find the resulting coordinates after applying the translation vector <2, -3> to the original coordinates (-2, -5), you add the components of the translation vector to the original coordinates.

  1. For the x-coordinate: -2 (original) + 2 (translation) = 0

  2. For the y-coordinate: -5 (original) + (-3) (translation) = -5 - 3 = -8

Thus, the resulting coordinates are (0, -8).

The correct response is: (0,−8)