Question

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

Answer 1

The midpoint is (2, 6)

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)

Answer 2

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=((x_(1)+x_(2))/(2),(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=((12+(-8))/(2),(4+8)/(2))`

`MidPoint=((4)/(2),(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!