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Which of the following points lies on the graph of this equation?

A. (-3, 2)
B. (3, 5)
C. (3, 3)
D. (6, 8)

Which of the following points lies on the graph of this equation? A. (-3, 2) B. (3, 5) C-example-1
User Thymo
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2 Answers

17 votes
17 votes
ANSWER IS C 3,3 I took a test on this
User Moira
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13 votes
13 votes

Answer: Choice C. (3, 3)

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Step-by-step explanation:

If we plug in x = -3, then we get

y = (1/3)*x + 2

y = (1/3)*(-3) + 2

y = -1 + 2

y = 1

So the point (-3, 1) is on the line instead of (-3, 2). This rules out choice A.

Now let's try x = 3

y = (1/3)*x + 2

y = (1/3)*(3) + 2

y = 1 + 2

y = 3

We can see that (3,3) is on the line. That directs us to choice C as the final answer.

For the sake of completeness, let's try x = 6 to see what we get

y = (1/3)*x + 2

y = (1/3)*(6) + 2

y = 2 + 2

y = 4

So the point (6,4) is on the line instead of (6,8), which allows us to rule out choice D.

User Maztch
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