Final answer:
The slope of the equation Y + 4 = -(x - 2) is -1.
Step-by-step explanation:
To identify the slope of the equation Y + 4 = -(x - 2), we need to rearrange the equation into slope-intercept form y = mx + b, where m represents the slope. First, let's isolate y on one side of the equation:
Y + 4 = -(x - 2)
Y = -(x - 2) - 4
Y = -x + 2 - 4
Y = -x - 2
Now we can see that the slope of the equation is -1 since the coefficient of x is -1.