Final answer:
The student needs to find any point that satisfies the equation Y + 4 = -(x - 2). By rearranging the equation, Y is isolated and the equation simplifies to Y = -x - 2. Points that satisfy this linear equation can be found by choosing values for x and solving for Y accordingly.
Step-by-step explanation:
The student asked to identify the point (x, y) given the equation Y + 4 = -(x - 2). To find any point (x, y) that satisfies this equation, we need to express Y in terms of x. Rearranging the equation by isolating Y on one side gives us:
Y = -(x - 2) - 4
Which simplifies to:
Y = -x + 2 - 4
Y = -x - 2
Now we have Y in terms of x, and the equation represents every point (x, y) that lies on the line with slope -1 and y-intercept -2. For example, if x = 0, then y = -2, which gives us the point (0, -2). If x = 1, then y = -3, which corresponds to the point (1, -3), and so on.