Question

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

Answer 1

Answer is A. (0,1)

Step-by-step explanation: Did the test.

Answer 2

`(1,4(1)/(3))`

Explanation:

The coordinates of A and B are missing in the question

Assuming point A is at (1,2) and B is at (1,9) then the coordinates of that partitions AB in the ratio m:n=1:2 is given by:

`((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))`

We substitute the values to get:

`((1 * 1+2 * 1)/(1+2),(1 * 9+2 * 2)/(1+2))`

We simplify to get:

`((1+2 )/(3),(13)/(3))`

`((3 )/(3),(13)/(3))`

`(1,4(1)/(3))`