Answer:
C) (-6, -17), (-3, -13), (3, -5), (9, 3)
Step-by-step explanation:
You can plot the points on a graph and see which line up. That is what has been done below.
___
Otherwise realize that the first x-difference is half the remaining x-differences. so points on a line will have a first y-difference that is half the others. That situation is only true for the pairs in choice C.
- -3 -(-6) = 3 . . . . . first of the x-differences; half the other two
- 3 -(-3) = 6
- 9 -3 = 6
And for choice C, the y-differences are ...
- -13 -(-17) = 4 . . . . first of the y-differences; half the other two
- -5 -(-13) = 8
- 3 -(-5) = 8
__
And for one of the bad choices (choice A), you get ...
- 13 -17 = -4
- 5 -13 = -8
- 3 -5 = -2 . . . . . not the same as the previous difference
