Final answer:
Point Z located at (-7, 1) will have reflected coordinates of (-7, -1) when it is reflected across the x-axis.
Step-by-step explanation:
The question involves reflecting a point across the x-axis in the Cartesian coordinate system. Reflecting a point across the x-axis means that the x-coordinate remains the same while the y-coordinate changes sign. Therefore, the reflected coordinates of point Z, originally at (-7, 1), would be (-7, -1) because only the sign of the y-coordinate changes.