If point R is translated 4 units right and 7 units down, what are the coordinates of R'?

Answer 1

A translation is like a slide. You can remember SLide because SL is in the middle of tranSLation.

x always goes left or right and y goes up or down. You can remember that with the hint that x makes "a cross" (across) and y to the skY. An ordered pair is always written x first then y like (x, y)

So imagine a point sliding 4 units to the right. You would add 4 to the original x value.

Then take that point and slide it 7 units down. So subtract 7 from the y value.

Example:

A (-1, 9) is translated 4 units right and 7 units down, what are the coordinates of A'?

Slide -1 four to the right - 1 + 4 = 3

Slide 9 seven units down 9 - 7 = 2

A' (3, 2)

If you aren't using a coordinate plane for these problems, a number line can help. Here is an online number you can use https://www.didax.com/apps/number-line/

Answer 2

If initial coordinates were (x,y), then the coordinates after translation are (x+4, y-7)