\( \begin{array}{l} y=-(x+1)-3 \\ y=-x-4 \\ \text { OR } \\ y=-x+k \\ -3=-(-1)+k \\ k=-4 \\ y=-x-4\end{array} \)

It looks like you're working with equations of lines and trying to find a relationship between them. Let's break down the information you've provided. 1. The first equation is: \[ y = -(x + 1) - 3 \] Simplifying this: \[ y = -x - 1 - 3 = -x - 4 \] 2. The second equation is: \[ y = -x - 4 \] 3. You also have an alternative form: \[ y = -x + k \] You set \( -3 = -(-1) + k \) to find \( k \): \[ -3 = 1 + k \implies k = -4 \] Thus, this also leads to: \[ y = -x - 4 \] From all of this, we can see that all three forms of the equation represent the same line, which is: \[ y = -x - 4 \] If you have any specific questions or need further assistance with this topic, feel free to ask!