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Point R' is located at (28, -20)
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Reason:
The translation rule is [tex](\text{x},\text{y})\to (\text{x}+4,\text{y}-7)[/tex]
It says to add 4 to the x coordinate, and subtract 7 from the y coordinate.
If we apply the rule to point R(24, -13), then we have...
[tex](\text{x},\text{y})\to (\text{x}+4,\text{y}-7)\\\\(24,-13)\to (24+4,-13-7)\\\\(24,-13)\to (28,-20)\\\\[/tex]
This rule shifts the point 4 units to the right and 7 units down.