On a coordinate plane, point A is located at (1,6) and point B is located at (5,-1). Determine the coordinate of the point that is 2/3 of the distance from B to A. Write in the form (x,y).

Question

On a coordinate plane, point A is located at (1,6) and point B is located at (5,-1). Determine the coordinate of the point that is 2/3 of the distance from B to A. Write in the form (x,y).

Answer 1

B to A decreases by 4 for the x coordinate. 2/3 of 4 = 8/3

B to A increases by 7 for the y coordinates. 2/3 of 7 = 14/3

B(5, -1) becomes (5-8/3, -1+14/3) = (7/3, 11/3) = (2 1/3, 3 2/3) as the pont 2/3 of the way to A