Question

What is the y-coordinate of the point that divides the directed

line segment from J to K into a ratio of 2:3?

K(8,11)

J(-3,1)


*7

*-6

*5

*-5

Answer 1

The answer is actually C(5) not D

Explanation:

Answer 2

(D)5

Explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

`P(x,y)=\left((mx_2+nx_1)/(m+n) ,(my_2+ny_1)/(m+n)\right)`

In the given case:

`(x_1,y_1)=(-3,1), (x_2,y_2)=(8,11)`, m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

`(my_2+ny_1)/(m+n)=(2*11+3*1)/(3+2)\\\\=(22+3)/(5)\\\\=(25)/(5)\\\\=5`

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.