A point is located at (4,-2) It undergoes a translation under the rule (x,y)-->(x-6, y+4). Where is the image point located? *

1 point
(-2, 2)******************
(-6, 4)
(2, -2)
(6, -4)

thank you thats so nice : )

good work.

To find the image point, we need to apply the translation rule to the given point (4, -2).

Using the rule (x,y) --> (x-6, y+4), we can calculate the image point as follows:

x-coordinate of the image point = x-coordinate of the given point - 6
= 4 - 6
= -2

y-coordinate of the image point = y-coordinate of the given point + 4
= -2 + 4
= 2

Therefore, the image point is located at (-2, 2).

To find the image point after the translation, we need to apply the translation rule to the coordinates of the original point.

The translation rule is given as (x, y) → (x - 6, y + 4).

Starting with the original point (4, -2), we apply the rule:

x - 6 = 4 - 6 = -2
y + 4 = -2 + 4 = 2

Therefore, the image point is located at (-2, 2).