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If A = {( x , y ): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A .

y=

1/2x - 3
-1/2x + 3
-1/2x - 1

1 Answer

3 votes

Let's plug some values and see which satisfy the equations:


Testing
y = (1)/(2)x-3:



(2, -2) \to -2 = (1)/(2)\cdot 2 - 3 = 1-3, which holds.



(4, -1) \to -1 = (1)/(2)\cdot 4 - 3 = 2-3, which holds.



(6, 0) \to 0 = (1)/(2)\cdot 6 - 3 = 3-3, which holds.


Since only one line can pass through these three points, we can already claim that the first option is the correct one.

User Tung Tran
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