Two cities are located in the xy-plane at the points A(8 , 9) and B(1 , 7).

Question

Two cities are located in the xy-plane at the points A(8 , 9) and B(1 , 7). A company wishes to place a factory on a road between the cities at A and B. It is determined that the company can make the most money if it places the factory exactly halfway between A and B. However, due to environmental hazards produced by the factory, it is safe for the people living in A and B only if the factory is located exactly ⅓ of the distance from A going toward B. Find the coordinates of the point where the factory should be placed to ensure the most ethical outcome.

Answer 1

In the required ordered pair 

the x value is 1/3 of the distance from 8 to 1

the y value is 1/3 of the distance from 9 to 7

 

Can you calculate?