Question

My partner and i are at coordinates (−20, 15) on a map. if our destination is at coordinates (35, −12), (a) what are the coordinates of the rest station located halfway to our destination? (b) how far away is our destination? assume that each unit is 1 mi.

Answer 1

The rest station is the midpoint of the given coordinates:
(-20+35)/2 , for the x value  and (15+-12)/2 for the y value.

Coordinates of the rest station: (7.5, 1.5)

How far is the destination? Use the distance formula : D² = √(x1-x2) + (y1-y2)
(-55)² + (27)² = D²   D = √3754 = 61.27