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

(0,−8)
left parenthesis 0 comma negative 8 right parenthesis

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

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

(4,−2)

Answer 1

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

1. **For the x-coordinate**:
\[
-2 + 2 = 0
\]

2. **For the y-coordinate**:
\[
-5 + (-3) = -5 - 3 = -8
\]

Thus, the new coordinates after the translation will be \( (0, -8) \).

So, the resulting coordinates are **(0,−8)**.