A GIS mapping technician is entering the coordinates for two new utility lines into a city's database. Line A follows the equation $y = -3x + 2$ and Line B follows $x - 3y = 4$. To install a right-angle connection box, the technician must recall the procedure to verify these lines are perpendicular. Arrange the mathematical steps the technician recalls in the correct chronological order.

A facility manager is mapping out two new equipment paths in a warehouse. Path A follows the line $y = -3x + 2$ and Path B follows the line $x - 3y = 4$. To confirm that these two paths are perpendicular, which property of their slopes must the manager recall?

An interior designer is planning two decorative trim lines on a floor layout, represented by the equations $y = -3x + 2$ and $x - 3y = 4$. To verify that these lines meet at a right angle, match each component of the perpendicularity check with its correct numerical value.

A warehouse maintenance technician is inspecting two floor-mounted conveyor tracks for a new sorting system. Track A follows the equation $y = -3x + 2$ and Track B follows the equation $x - 3y = 4$. True or False: These two tracks are perpendicular.

Perpendicular Rail Alignment for Solar Panels

Drafting Perpendicular Circuit Paths

A junior CAD designer is verifying if two crossing pathways on a park blueprint are perpendicular. The first pathway is represented by the equation $y = -3x + 2$, and the second pathway is represented by the equation $x - 3y = 4$. To confirm that these two pathways meet at a perfect right angle, the designer calculates the product of their slopes. The product of the slopes of these two perpendicular lines is ____.