Question

Find the coordinates for the midpoint of the segment with endpoints given 12,4 and -8,8

Answer 1

Hello!

The answer is:

The coordinates of the midpoint are:

$x-coordinate=2\\y-coordinate=6$

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:

$MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

We are given the points:

$(12,4)$

and

$(-8,8)$

Where,

$x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8$

So, calculating the midpoint, we have:

$MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})$

$MidPoint=(\frac{4}{2},\frac{12}{2})$

$MidPoint=(2,6)$

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

$x-coordinate=2\\y-coordinate=6$

Have a nice day!

Answer 2

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)