Answer:
y = -(1/2)x - 5 which comes from x + 2y = - 10
Explanation:
The question was which equation is equivalent to y = (-1/2)x - 5 I think.
In that case, we need to solve these equations to get an answer.
2x + y = -5 gives
y = - 2x - 5 which is not the answer you want.
2x - y = 5 gives
y = 5 - 2x by subtracting 2x from both sides, and this is not the answer.
x + 2y = -10 Subtract x from both sides.
2y + x - x = -x - 10 Combine on the left.
2y = - x - 10 Divide by 2
2y/2 = -x/2 - 10/2
y = -x/2 - 5 Answer