Answer: Choice C. (3, 3)
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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.
