Lucinda graphed point Q on the coordinate grid. She will graph point R at a location 4 units away from point Q.

Which ordered pair could represent the location of point R?
Responses
A (–1,3)(–1,3)
B (–5,4)(–5,4)
C (–9,–1)(–9,–1)
D (–5,1)(–5,1)
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1 answer

Since point R is 4 units away from point Q, the x-coordinate and y-coordinate of point R will each change by 4 units from the x-coordinate and y-coordinate of point Q.

Looking at the possible options, we can calculate:

A) (–1+4, 3+4) = (3, 7)
B) (–5+4, 4+4) = (–1, 8)
C) (–9+4, –1+4) = (–5, 3)
D) (–5+4, 1+4) = (–1, 5)

Out of these options, the only one that matches the requirement of being 4 units away from point Q is D) (–5, 1).

Therefore, the correct answer is D) (–5, 1).