In a site planning software, a technician enters the equations y = -5x - 4 and x - 5y = 5 for two intersecting access roads. To verify that the roads are perpendicular, the software checks if the product of the slopes equals a specific constant. What is that constant?

In a site layout project, a technician uses the equations y = -5x - 4 and x - 5y = 5 to represent two perpendicular access paths. Match each component of the slope analysis to its correct numerical value.

A solar panel technician is installing mounting rails on a roof. The path of the first rail is represented by the equation $y = -5x - 4$ and the path of the second rail is represented by the equation $x - 5y = 5$. True or False: Based on these equations, the two rails are perpendicular to each other.

A technician is verifying the layout of two perpendicular boundary lines for a site plan. The boundaries are defined by the equations $y = -5x - 4$ and $x - 5y = 5$. Arrange the following steps in the correct order to mathematically confirm that these boundaries are perpendicular.

Slope Identification for Perpendicular Verification

Pipe Intersection Alignment

Verifying Perpendicularity in Site Planning

A drafting technician is verifying the alignment of two boundary lines modeled by the equations $y = -5x - 4$ and $x - 5y = 5$. To confirm the lines are perpendicular, the technician identifies the slope of the first line as -5 and calculates the slope of the second line to be ____.

A construction surveyor is verifying the perpendicular alignment of two layout lines defined by the equations $y = -5x - 4$ and $x - 5y = 5$. After converting the second equation, the surveyor identifies the slopes of the two lines as $-5$ and $rac{1}{5}$. Which mathematical term describes the relationship between these two slopes that confirms the lines are perpendicular?

A site layout technician is verifying the alignment of two boundary lines defined by the equations $y = -5x - 4$ and $x - 5y = 5$. To determine if they are perpendicular, the technician converts the second equation, $x - 5y = 5$, into slope-intercept form ($y = mx + b$). Which of the following is the correct slope-intercept form for this second line?

Verifying that $y = -3x + 2$ and $x - 3y = 4$ are Perpendicular