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

A (1,6)

B (5,-1)

find C (x,y) 2/3 of the way from B to A

entire way from B to A is 4 to the left and 7 up

difference in x coordinates and difference in y coordinates

2/3 of 4 = 8/3, 2/3 of 7 = 14/3

add/subtract those results to (5,-1) to get (5-8/3, -1+ 14/3)

= (7/3, 11/3)

= (2 1/3, 3 2/3)

It might help to plot them and see if the graph fits the solution