Question

given the midpoint of segment KL is M (1, -1) and L (8 ,-7) what are the coordinates of the other endpoint K

Answer 1

The answer is (-6, 5) for K.

In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 8)/2 = 1

Kx + 8 = 2

Kx = -6

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -7)/2 = -1

Ky + -7 = -2

Ky = 5

This gives us the final point of (-6, 5)

Answer 2

(-6,5).

Explanation:

We are given that M is a midpoint of KL

The point L is at (8,7).

The midpoint M is at (1,-1).

We have to find the value of other point K

Let point of K is at (x,y)

We know that midpoint formula

`x=(x_1+x_2)/(2),y=(y_1+y_2)/(2)`

`x_1=x,x_2=8,y_1=y,y_2=-7,x=1,y=-1`

Using the formula and substitute the values in the given formula

`1=(x+8)/(2)`

`x+8=2`

`x=2-8=-6`

-1=
`(y-7)/(2)`

`y-7=-2`

`y=-2+7`

`y=5`

Hence, the coordinate of other point K is at(-6,5).