A telecommunications technician is mapping a new fiber-optic cable route on a coordinate grid. The new route must be parallel to an existing cable that follows the path y = rac{3}{7}x + 20. To ensure the new cable is parallel, what slope must the technician use for the new route?

As a civil engineering drafter, you are tasked with creating a visual blueprint for a new water pipeline. The new pipeline must run exactly parallel to an existing main water line and must connect through a newly constructed pumping station at a specific coordinate on your map. Based on the standard visual graphing method, arrange the steps below in the correct order to graph the path of the new pipeline.

A city planner is drafting a new bike path on a coordinate map that must be parallel to a main road. If the road has a slope of ${}2$, True or False: the planner must use a slope of ${}-2$ to correctly graph the parallel bike path.

A solar energy technician is using a coordinate grid to map a new row of solar panels that must be installed parallel to an existing row. To ensure the new row is perfectly aligned, match each graphing component with its correct role in the design process.

HVAC System Alignment

A warehouse operations designer is drafting the floor layout for a new fulfillment center on a coordinate plane. The main shipping line runs along a path with a slope of m = rac{3}{5}. The designer needs to install a secondary, parallel sorting line that starts at a designated station plotted at coordinates $(-2, 4)$. To visually graph the path of this new sorting line on the coordinate layout before calculating any algebraic equations, the designer must recall that parallel lines share the exact same ____.