Question

Directions: Find the missing endpoint if K is the midpoint LM.

10. L(-9, 4) and K(2, -1); Find M.​

Answer 1

I AM NOT GIVING YOU THE ANSWER I'M JUST HELPING YOU UNDERSTAND!!!!

Explanation:

(-9,4) is the end point right. So if you count how many units are in between (-9,4) and (2,-1) yo would use that same number to count the rest of the way up since it is the halfway point

Answer 2

(13, -6)

Explanation:

Since, the coordinates of a midpoint of a line joining the points
`(x_1,y_1)` and
`(x_2, y_2)` is,

`((x_1+x_2)/(2), (y_1+y_2)/(2))`

Here,

`x_1=-9\text{ and }y_1=4`

Also,

`(x_1+x_2)/(2)=2`

`(-9+x_2)/(2)=2`

`-9+x_2=4`

`\implies x_2=13`

`(y_1+y_2)/(2)=-1`

`(4+y_2)/(2)=-1`

`4+y_2=-2`

`\implies y_2=-6`

Hence, the coordinates of point M are, (13, -6)