Question

Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these three ordered pairs?

Select one:
a. y = x + 3
b. y = -x + 3
c. y = -x - 6
d. y = -x - 3

Answer 1

Answer:

a. y = x + 3

Step-by-step explanation:

All three ordered pairs satisfy the first equation.

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If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...

(-1, 2), (0, 3), (1, 4)

That is, the y-values increase (by 1) as the x-values increase (by 1).

All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.