Question

If coordinates (-4,7) undergo a translation vector of <-4,8> in the coordinate plane, what would the resulting coordinated be?(1 point)
Responses

(-8,15)
(-8,15)

(0,-1)
(0,-1)

(-8,15)
(-8,15)

(-8,-1)

Answer 1

To find the resulting coordinates after applying the translation vector <-4, 8> to the point (-4, 7), you add the components of the translation vector to the respective coordinates of the point.

Starting point: (-4, 7)
Translation vector: <-4, 8>

Now, perform the addition:

1. For the x-coordinate: -4 + (-4) = -4 - 4 = -8
2. For the y-coordinate: 7 + 8 = 15

Therefore, the resulting coordinates are (-8, 15).

The correct answer is: **(-8, 15)**.