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

given the midpoint of segment KL is M 1 1 and L 8 7 what are the coordinates of the other endpoint K class=

Respuesta :

MrGumby

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)

lublana

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

[tex]x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex]

[tex]x_1=x,x_2=8,y_1=y,y_2=-7,x=1,y=-1[/tex]

Using the formula and substitute the values in the given formula

[tex]1=\frac{x+8}{2}[/tex]

[tex]x+8=2[/tex]

[tex]x=2-8=-6[/tex]

-1=[tex]\frac{y-7}{2}[/tex]

[tex]y-7=-2[/tex]

[tex]y=-2+7[/tex]

[tex]y=5[/tex]

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

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