Question

PLEASE HELP ME Point J has coordinates (10,8). The midpoint of the line segment JK is (6, 12).

What are the coordinates of point K ?​

Answer 1

the coordinates of point K (6, 16)

Explanation:

Given the information:

J (0,8).

Let A is the middle point of the line segment => A ( 6, 12).

Let K (a, b)

We have the following formula:

`Midpoint((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))\\` where:

`J(x_(1),y_(1) )\\K(x_(2),y_(2))`

Substitute all the given information, we have:

• 
  `(10+a)/(2) = 6`

<=> a = 2

• 
  `(8+b)/(2) =12`

<=> b = 16

=> the coordinates of point K (6, 16)

Hope it will find you well.