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

Question

Responses

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

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

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

(0,−8)

Answer 1

To find the resulting coordinates after applying the translation vector <2,−3> to the initial coordinates (−2,−5), you need to add the corresponding components of the translation vector to the coordinates.

1. Add the x-coordinates: \(-2 + 2 = 0\)

2. Add the y-coordinates: \(-5 + (-3) = -5 - 3 = -8\)

Thus, the resulting coordinates after the translation are (0, −8).

So, the correct response is: (0,−8)