Question

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

Answer 1

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.