Question

The graph of which of the following equations contains the points (2, 3) and (3, 2)?

y=x-1
y=5-x
y 7 - 2x
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Answer 1

(2, 3) lies on the line y = 5 - x.

Explanation:

Were there only two possible answer choices?

We can determine whether or not a given point, such as (2, 3), is contained in a function such as y = x - 1, by substituting the given coordinates 2 and 3 for x and y respectively; is the resulting equation true or false?

Check out (2, 3) and y = x - 1: 3 = 2 - 1, or 3 = 1. False. (2, 3) does not lie on the line y = x - 1. Does (2, 3) lie on the line y = 5 - x? Is 3 = 5 - 2 true? Yes. So (2, 3) lies on the line y = 5 - x.

Check out (2, 3) and y = 7 - 2x. Is 3 = 7 - 2(1) true? No, it is not true.