Question

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 negative 2 right parenthesis

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

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

(0,−8)

Answer 1

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

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

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

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

The correct response is:
**(0,−8)**.