Question

the image of point (-1,-8) under a translation is (-3,-12). Find the coordinates of the image of the point (5,-7) under the same translation.

Answer 1

The coordinates of the image of the point (5, -7) under the given translation are (3, -11).

Step-by-step explanation:

To find the coordinates of the image of the point (5,-7) under the given translation, we can use the same translation vector as before.

The translation vector is the difference between the image point and the original point, which is (-3, -12) - (-1, -8) = (-2, -4). Add this translation vector to the original point (5, -7) to find the image point:

(5, -7) + (-2, -4) = (5 + (-2), -7 + (-4)) = (3, -11)

Therefore, the coordinates of the image of the point (5, -7) under the given translation are (3, -11).