Final answer:
The slope-intercept form of the equation x + y = -4 is y = -x - 4, where the slope (m) is -1 and the y-intercept (b) is -4, making option A correct.
Step-by-step explanation:
The equation x + y = -4 can be rearranged to represent the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept. To convert the given equation into the slope-intercept form, we can isolate y on one side of the equation:
- Subtract x from both sides: y = -x - 4.
Therefore, the correct option that represents the equation x + y = -4 in slope-intercept form, simplifying all fractions, is A) y = -x - 4. In this equation, the slope (m) is -1 and the y-intercept (b) is -4.