An operations manager at a logistics company is planning the placement of a central distribution hub exactly halfway between two existing warehouses. On a coordinate map of the region, the first warehouse is located at $(x_1, y_1)$ and the second warehouse is at $(x_2, y_2)$. To calculate the coordinates of the midpoint $M$ for the new hub, which formula must the manager use?

When a logistics coordinator uses the Midpoint Formula to locate a midway rest stop between two distribution centers on a coordinate grid, they calculate the $x$-coordinate of the rest stop by subtracting the $x$-coordinates of the two centers and dividing by two.

A land surveyor is identifying the exact center point of a boundary line between two markers at coordinates $(x_1, y_1)$ and $(x_2, y_2)$. To determine the $x$-coordinate of this center point, the surveyor must calculate the ____ of the $x$-coordinates of the two markers.

An infrastructure technician is installing a signal repeater at the exact center point between two existing network hubs on a facility map. To correctly apply the Midpoint Formula $M = \left(\frac{x_1 + x_2}{2},\; \frac{y_1 + y_2}{2}\right)$, arrange the following steps in the logical order required to find the repeater's coordinates.

An infrastructure technician is using a coordinate grid to plan the placement of a new utility pole that must be located exactly halfway between two existing markers. To ensure the technician identifies the correct components of the calculation, match each term with its corresponding mathematical representation or conceptual definition.