Imagine you are a city planner working on improving transportation routes in a bustling metropolis. Your task is solving several geometric and graphical challenges related to a proposed road project connecting linearly to different locations. Solving these challenges contributes to an efficient urban transportation network, benefiting residents and visitors alike.
(i) Optimal Route Planning: Determine the equation of the road that seamlessly connects critical locations, Points A(5,7) and B(6,5).

(ii) Traffic Flow Analysis: Calculate the road's slope between A and B for efficient traffic design.

(iii) Enhanced Traffic Safety: Determine the changes in road elevation from A to B, focusing on safety and convenience.

(iv) Alternate Routes Provision: Create parallel and perpendicular routes to offer commuters diverse travel options.

(v) Visual Infrastructure Mapping: Create a graphical map of the road alignment for use in planning and stakeholder presentations.

(vi) Access Points Identification: Locate intercepts on the x and y-axes, serving as vital road access and landmarks.

(vii) In this situation how many parallel and perpendicular to the proposed road are possible?