An electrical technician is verifying if two conduits, modeled by the lines ${}5x + 4y = 1$ and ${}4x + 5y = 3$, are perpendicular. Match each part of the verification process with its correct value or description.

A structural inspector is verifying the angle between two support cables modeled by the equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. Arrange the steps of the verification process in the correct order to conclude that these cables are NOT perpendicular.

A landscape architect is designing two walking paths modeled by the linear equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. After determining that the slopes of these paths are $-\frac{5}{4}$ and -rac{4}{5}, the architect verifies if the paths meet at a right angle. Which of the following statements correctly recalls the product of these slopes and explains why the paths are NOT perpendicular?

Recalling Slopes and Perpendicularity Rules for Linear Boundaries

A GIS technician is verifying two property boundary lines modeled by the equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. The slopes of these lines are $-\frac{5}{4}$ and $-\frac{4}{5}$, respectively. The technician recalls that to test for perpendicularity, the product of the slopes must be exactly -1. When multiplying these two specific slopes together, the product is ____, confirming that the boundaries are NOT perpendicular.

Recalling Perpendicular Line Slopes for Utility Blueprint Verification