Question

Given: y = -x - 6

Answer 1

If I understood the question correctly that you hab to pic one of the 4 than it’s...
x+2y+6=0

Answer 2

$y=\dfrac{-x-6}{2}\qquad\text{multiply both sides by 2}\\\\2y=-x-6\qquad\text{subtract 2y from both sides}\\\\0=-x-2y-6\\\\\boxed{-x-2y-6=0}\qquad\text{change the signs}\\\\\boxed{x+2y+6=0}$