Respuesta :

mixter17

Hello!

The answer is:

The coordinates of the midpoint are:

[tex]x-coordinate=2\\y-coordinate=6[/tex]

Why?

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

We are given the points:

[tex](12,4)\\[/tex]

and

[tex](-8,8)\\[/tex]

Where,

[tex]x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8[/tex]

So, calculating the midpoint, we have:

[tex]MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})[/tex]

[tex]MidPoint=(\frac{4}{2},\frac{12}{2})[/tex]

[tex]MidPoint=(2,6)[/tex]

Hence, we have that the coordinates of the midpoint are:

[tex]x-coordinate=2\\y-coordinate=6[/tex]

Have a nice day!

imlittlestar

Answer:

The midpoint is (2, 6)

Step-by-step explanation:

Points to remember

The midpoint of a line segment with end points, (x₁, y₁) and (x₂, y₂)

mid point = [ (x₁ + x₂)/2 , (y₁ + y₂)/2]

To find the midpoint of given line

Here (x₁, y₁)  = (12, 4) and (x₂, y₂) = (-8, 8)

Midpoint = [

 = [(12 +-8)/2 , (4 + 8)/2]

 = (4/2 , 12/2)

 = (2, 6)

Therefore midpoint is (2, 6)

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