Question

A coordinate grid is placed over a map. City A is located at (19,22). City B is located at (-7,-2). If City C is halfway between City A and City B, Where is City C located? What is the distance between City A and City C? (Round to the nearest tenth)

Answer 1

City C location: (6,10)

Distance between City A and City C: √313 or 17.69

Explanation:

Use midpoint formula: (x2 + x1)/2, (y2 + y1)/2

Plug in the numbers, this gives you (6,10)

Use distance formula to find distance between City A and City C.

√(x2−x1)^2+(y2−y1)^2

Plug in the numbers, this gives you √313 which is also 17.69