The answer is: [A]: " (-2, 6) " .
______________________________________
Note: The equation is: " x + (1/2) y = 1 " .
______________________________________
Choice A: (-2, 6). " -2 + (1/2)*6 =? 1 ?
-2 + 3 = 3 − 2 = 1 . Yes!
________________________________________
Choice B: (2, 6). "2 + (1/2)*(-6) =? 1 ? " ;
2 + (-3) = 2 − 3 = -1 ; NOT "1" ; so rule out choice "B" .
________________________________________
Choice C: (-2, -6). "-2 + (1/2)*-6 =? 1 ? " ;
-2 + (-3) = -2 − 3 = -5 ; NOT "1" ; so rule out choice "C".
__________________________________________________
The answer is: Answer choice: [A]: " (-2, 6) " .
__________________________________________________
