Final answer:
To reflect the point T(-5, 1) over the line y = -x, find the perpendicular line passing through (-5, 1) and solve for the intersection point with y = -x. The new ordered pair for the reflected point is (-2, -2).
Step-by-step explanation:
To reflect the point T(-5, 1) over the line y = -x, we need to find the image of the point that is equidistant from the line. The line y = -x has a slope of -1, which means the perpendicular line passing through T will have a slope of 1. The equation of the perpendicular line passing through (-5, 1) is y = x - 4. To find the new ordered pair for the reflected point, we need to find the intersection point of the perpendicular line and the line y = -x. Solving these two equations, we get x = -2 and y = -2. Therefore, the new ordered pair for the reflected point is (-2, -2).