Write a translation rule that maps point D(7, –3) onto point D'(2, 5).

Not sure how to do this???

(x,y) --> (x-5,y+8)

Thank you Steve

Can you explain that?

To map point D(7, -3) onto point D'(2, 5), we need to determine the translation rule.

A translation involves shifting a point a certain distance horizontally and vertically to a new position.

To find the horizontal shift, we subtract the x-coordinate of the original point (D) from the x-coordinate of the image point (D'). In this case, we have:

Horizontal shift = x-coordinate of D' - x-coordinate of D = 2 - 7 = -5

To find the vertical shift, we subtract the y-coordinate of the original point (D) from the y-coordinate of the image point (D'). In this case, we have:

Vertical shift = y-coordinate of D' - y-coordinate of D = 5 - (-3) = 8

Therefore, the translation rule to map point D(7, -3) onto point D'(2, 5) is:

(x, y) --> (x - 5, y + 8)

This means that for any point (x, y), if we subtract 5 from the x-coordinate and add 8 to the y-coordinate, we will obtain the image point after the translation.