The given equation is equivalent to
[tex]x+\frac{1}{2}y=1[/tex]Let's check each one of the options.
(2,-6):
if we replace x by 2 in the equation, we obtain y=-2, then the point is not a solution.
(1,5)
if we replace x by 1 in the equation we obtain y=0, then the point is not a solution of the equation.
(-5,5)
if we replace x by -5 in the equation, we obtain: y=12, then the point is not a solution of the equation.
(5,3)
if we replace x by 5 in the equation, we obtain y=-8 then the point is not a solution for the equation.