Question

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

directed line segment from J to k into a ratio of 5:1?

O -8
O -5
O 0
O 6

Answer 1

Answer: 0

Explanation:

Answer 2

`y = 0`

Explanation:

Given

Line segment JK

`J = (1,-10)`

`K = (7,2)`

Ratio;
`m:n= 5:1`

Required

Find the coordinates of y

From the question; the formula to use is

`y = ((m)/(m+n))(y_2 - y_1) + y_1`

We have that; m = 5; n = 1

`J =(x_1, y_1) = (1,-10)`

Hence,
`y_1 = -10`

`K = (x_2,y_2)= (7,2)`

Hence,
`y_2 =2`

Substitute the above values in the given formula;

`y = ((m)/(m+n))(y_2 - y_1) + y_1` becomes

`y = ((5)/(5+1))(2 - (-10)) + (-10)`

Solve brackets

`y = ((5)/(6))(2 +10)) - 10`

`y = ((5)/(6))(12)) - 10`

Open bracket

`y = (5)/(6) * 12 - 10`

`y = (5*12)/(6)- 10`

`y = (60)/(6)- 10`

`y = 10 - 10`

`y = 0`