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

Answer:

the coordinates of point K (6, 16)

Step-by-step 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:

$Midpoint(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})$ where:

$J(x_{1},y_{1} )\\K(x_{2},y_{2})$

Substitute all the given information, we have:

• $\frac{10+a}{2} = 6$

<=> a = 2

• $\frac{8+b}{2} =12$

<=> b = 16

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

Hope it will find you well.