Final answer:
The reflection of the point (-8,1) across the x-axis is (-8, -1), as only the sign of the y-coordinate changes.
Step-by-step explanation:
The reflection of a point across the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. When reflecting the point (-8,1) across the x-axis, the x-coordinate remains -8 and the y-coordinate changes from 1 to -1. Therefore, the reflected point is (-8, -1).