1. The problem asks to write the linear equation $y + 1 = -3(x - 1)$ in slope-intercept form and simplify. 2. The slope-intercept form of a linear equation is given by: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Start with the given equation: $$y + 1 = -3(x - 1)$$ 4. Distribute the $-3$ on the right side: $$y + 1 = -3x + 3$$ 5. Subtract $1$ from both sides to isolate $y$: $$y = -3x + 3 - 1$$ 6. Simplify the right side: $$y = -3x + 2$$ 7. The equation in slope-intercept form is: $$y = -3x + 2$$ This means the slope $m$ is $-3$ and the y-intercept $b$ is $2$. Final answer: $$y = -3x + 2$$