Question

On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9). 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? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (0, 1) (–1, 3) (–2, 5) (1, 0)

Answer 1

(0,1)

Step-by-step explanation: Correct on Edge

Answer 2

Answer: (0,1)

Explanation:

If
`(x_1, y_1)` and
`(x_2, y_2)` are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.

Then , the coordinates of (x,y) is given by :-

`x=(nx_1+mx_2)/(m+n)`

`y=(ny_1+my_2)/(m+n)`

Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).

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

`x=(2(2)+1(-4))/(1+2)=0`

`y=(2(-3)+1(9))/(1+2=1)`

Hence, the x- and y- coordinates of point E = (0,1)