A facility coordinator is updating a warehouse blueprint. A new pedestrian walkway must be graphed perpendicular to an existing conveyor belt line, passing through a specific safety exit. Arrange the steps in the correct order to graph this new line manually.

A civil engineering technician is using drafting paper to graph a new drainage pipe that must run perpendicular to an existing water main. To manually plot the new line starting from a specific junction point, how must the technician determine the slope of the perpendicular line based on the water main's slope?

A renovation contractor is mapping out a floor tile border on a coordinate grid. The new border line must be perpendicular to a reference wall line and pass through a specific corner point. Match each geometric term with its specific role in the graphing process.

Procedural Steps for Perpendicular Graphing

A facility coordinator is using a coordinate grid to map a new safety walkway that must be perpendicular to an existing conveyor belt line. True or False: If the conveyor belt line has a slope of ${}2$, the coordinator should use a slope of ${}-2$ to graph the perpendicular walkway through a specific safety exit point.

A field surveyor is mapping out a new boundary line on a construction site grid. The new line must run perpendicular to an existing reference wall. If the reference wall's line has a slope of $m = 2$, the surveyor must determine the ________ ________ of this slope (which is $m_{\perp} = -\frac{1}{2}$) to graph the perpendicular boundary line manually.