Question

What are the me and you

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 = ( min )(x2 – x1) + x1

v = l m on Jiva – vi] + vi

(0, 1)

0 (-1,3)

* (-2,5)

(1,0)

Answer 1

Complete question:

What are the x- and y- coordinates of point E, which partitions the directed line segment from
`A\:(- 4,\:9) \:to\: B\:(2,\:- 3)` into a ratio of 1 : 2.

Answer:

(C) (-2,5)

Explanation:

`x = ((m)/(m+n)) (x_2-x_1) + x_1\\\\y = ((m)/(m+n)) (y_2-y_1) + y_1`

`(x_1,y_1)=(- 4,\:9),(x_2,y_2)=B\:(2,\:- 3)`

m=1, n=2

`x = \left((1)/(1+2)\right) (2-(-4)) + (-4)\\=\left((1)/(3)\right) (2+4)-4\\=\left((6)/(3)\right)-4=2-4\\x=-2`

`y = \left((1)/(1+2)\right) (-3-9) + 9\\=\left((1)/(3)\right) (-12)+9\\=\left(-(12)/(3)\right)+9=-4+9\\y=5`

The x- and y-coordinates of the point E is (-2,5)