A logistics coordinator is mapping two delivery routes defined by the equations y = -2x + 3 and 2x + y = -1. To verify that these routes are parallel, which of the following must be true about their slopes and y-intercepts?

A civil engineer is reviewing the blueprints for two parallel drainage pipes. The paths of the pipes are modeled by the equations y = -2x + 3 and 2x + y = -1. True or False: These pipes are parallel because both equations represent lines with a slope of -2 and different y-intercepts.

A manufacturing engineer is verifying the alignment of two parallel conveyor tracks modeled by the equations $y = -2x + 3$ and $2x + y = -1$. To confirm they are parallel, match each linear property with its correct numerical value.

A telecommunications technician is verifying that two signal transmission paths, modeled by the equations $y = -2x + 3$ and $2x + y = -1$, are parallel to prevent cross-talk. After converting both equations to slope-intercept form ($y = mx + b$), the technician confirms they are parallel because they both have a slope of ____.

An industrial designer is verifying that two parallel guide rails, modeled by the equations $y = -2x + 3$ and $2x + y = -1$, are correctly aligned. Arrange the following steps in the correct order to verify their parallelism using the slope-intercept method.

Verifying Parallel Railway Track Alignments

Utility Line Alignment Verification

Distribution Center Path Alignment

An industrial engineer is mapping the paths of two parallel conveyor belts using the linear equations $y = -2x + 3$ and $2x + y = -1$. When these equations are expressed in slope-intercept form ($y = mx + b$) to verify their alignment, which of the following correctly identifies the shared slope and the specific $y$-intercepts of the two paths?