Write a translation rule that maps point D(7, -3) onto point D(2,8)?

Can this be explained how this is done I have no idea.

To map point D(7, -3) onto point D(2, 8), we need to determine the translation rule. A translation is a type of transformation that moves each point of a figure the same distance in the same direction.

First, let's find the horizontal translation (left or right). The x-coordinate of point D moved from 7 to 2, which means it moved 5 units to the left (-5) because the final x-coordinate (2) is smaller than the initial x-coordinate (7).

Next, let's find the vertical translation (up or down). The y-coordinate of point D moved from -3 to 8, which means it moved 11 units up (11) because the final y-coordinate (8) is greater than the initial y-coordinate (-3).

Therefore, the translation rule that maps point D(7, -3) onto point D(2, 8) is:

Horizontal translation: x - 5
Vertical translation: y + 11

So, if you have any other points and want to apply the same translation rule, you can subtract 5 from the x-coordinate and add 11 to the y-coordinate to get the new coordinates.

To translate point D(7, -3) onto point D(2, 8), we need to determine the horizontal and vertical shifts required.

1. Horizontal Shift:
To find the horizontal shift, subtract the x-coordinate of the original point D(7, -3) from the x-coordinate of the target point D(2, 8):
Horizontal shift = x-coordinate of target point - x-coordinate of original point = 2 - 7 = -5

2. Vertical Shift:
To find the vertical shift, subtract the y-coordinate of the original point D(7, -3) from the y-coordinate of the target point D(2, 8):
Vertical shift = y-coordinate of target point - y-coordinate of original point = 8 - (-3) = 11

Now that we have the horizontal and vertical shifts, we can write the translation rule as follows:

(x, y) -> (x - 5, y + 11)

Applying this rule to the original point D(7, -3), we get:
D(7, -3) -> D(7 - 5, -3 + 11) = D(2, 8)

Therefore, the translation rule that maps point D(7, -3) onto point D(2, 8) is (x, y) -> (x - 5, y + 11).