1) Two schools are represented by points A(2, 20) and B(14, 24) on the graph below. A road represented by the line R with equation -x + y = 4, passes near the schools. An architect is asked to determine the location of a new bus stop on the road such that it is the same distance from the two schools. 28- 24- 20- 16- 12- A B 12 16 20 R 24 a) Find the equation of the perpendicular bisector of [AB]. Give your equation in the form y = mx + c. b) Determine the coordinates of the point on R where the bus stop should be located.

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