Final answer:
To convert the equation to slope-intercept form, we distribute and isolate y on one side.
Step-by-step explanation:
The given equation is y + 3 = -1(x - 4). To rewrite the equation in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. Let's start by distributing -1 to both terms inside the parentheses: y + 3 = -x + 4. Next, let's move y to the right side by subtracting y from both sides: y + 3 - y = -x + 4 - y. Simplifying further, we have 3 = -x + 4 - y. Finally, rearranging the terms, we get the equation in slope-intercept form as y = -x + 1.
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