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

Answer:

(-6,5).

Step-by-step 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

$x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

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

Using the formula and substitute the values in the given formula

$1=\frac{x+8}{2}$

$x+8=2$

$x=2-8=-6$

-1=$\frac{y-7}{2}$

$y-7=-2$

$y=-2+7$

$y=5$

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