To write the equation of the line in slope-intercept form (\(y = mx + b\)), we need to rearrange the equation given.
Starting with the equation:
\(-5 - y = -1\)
First, isolate \(y\) by adding \(y\) and \(1\) to both sides:
\(-5 = y - 1\)
Now, add \(1\) to both sides:
\(-5 + 1 = y\)
Simplifying gives us:
\(-4 = y\)
We can rearrange this to:
\(y = -4\)
Now we check the answer options provided:
- \(y = -5z + 1\)
- \(y = 5z + 1\)
- \(y = -5z - 1\)
None match \(y = -4\), which indicates there may have been a misunderstanding of the intended variable in your expressions.
Since the original equation was simplified to \(y = -4\), it doesn’t fit in the choices given, which seem to involve variable \(z\).
Since all options seem to deal with another variable and your question also included a misalignment in variables, please clarify or check the initial equation.