Select all the ordered pairs that correspond to input-output pairs for the function y= -2x+3.
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3 Answers: Choice B, Choice C, Choice D
In other words, only choice A is false.
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Explanation:
Each ordered pair is of the form (x, y) where x goes first.
For something like (2,7), we have x = 2 and y = 7 pair up.
Plug each into the equation and simplify both sides
y = -2x+3
7 = -2(2) + 3
7 = -4 + 3
7 = -1
We don't get the same thing on both sides, so (2,7) is not on this function curve. Instead, it should be (2, -1).
Therefore, we can rule out choice A
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Let's try choice B. We have x = -2 and y = 7 this time
y = -2x+3
7 = -2(-2) + 3
7 = 4 + 3
7 = 7
We get the same thing on both sides, so (-2,7) is on the line y = -2x+3
You should find that choices C and D are also on the line through similar steps.
The graph is shown below.