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:

$(1,4\frac{1}{3})$

Step-by-step 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:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the values to get:

$(\frac{1 \times 1+2 \times 1}{1+2},\frac{1 \times 9+2 \times 2}{1+2})$

We simplify to get:

$(\frac{1+2 }{3},\frac{13}{3})$

$(\frac{3 }{3},\frac{13}{3})$

$(1,4\frac{1}{3})$

Answer 2

Answer:

Answer is A. (0,1)

Step-by-step explanation: Did the test.