Final answer:
The line parallel to y = -x that passes through the point (4, 2.5) would have the equation y = -x + 6.5, since it has the same slope of -1 and passes through the given point.
Step-by-step explanation:
The line parallel to y = -x must have the same slope as the original line. Since the slope of the line y = -x is -1, the parallel line must also have a slope of -1. To find the equation of the new line, we use the point-slope form which is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line.
In this case, the line passes through (4, 2.5). Therefore the equation would be y - 2.5 = -1(x - 4). Simplifying, we get y = -x + 6.5 as the equation of the line parallel to y = -x that passes through the point (4, 2.5).