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Task 2. Imagine you are a city planner working on improving transportation routes in a bustling metropolis. Your task is solving several geometric and graphical

Task 2. 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

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