To rewrite the equation $y - 1 = -(x + 1)$ in slope-intercept form (i.e., $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept), follow these steps:

1. Start with the given equation: $y - 1 = -(x + 1)$

2. Distribute the negative sign on the right side: $y - 1 = -x - 1$

3. Add 1 to both sides to isolate $y$: $y = -x$

Now, the equation is in slope-intercept form:
$y = -x$ Here, the slope $m$ is $-1$ and the y-intercept $b$ is $0$.

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Would you like more details or have any questions about this? Here are some related questions:

1. How do you convert equations from point-slope form to slope-intercept form?
2. What is the meaning of the slope in a linear equation?
3. How do you find the slope of a line from two points?
4. How do you graph a line from the equation in slope-intercept form?
5. How would you convert a quadratic equation into vertex form?

Tip: Remember that in slope-intercept form, the slope $m$ tells you how steep the line is, while the y-intercept $b$ tells you where the line crosses the y-axis.