Question

If the midpoint between (x, 6) and (-9, 14) is (8, 10), find the value of x

Answer 1

Mid point is found by summation of x
Then divide by 2
And same for y

Since mid point for x is 8
So x+(-9) /2 = 8
X - 9 = 16
X=16+9
X= 25

Answer 2

the value of
`x` is 25.

Explanation:

Givens

• The midpoint is between (x,6) and (-9,14).
• The midpoint is at (8,10).

Now, the formula of a midpoint is

`M=((x_(1) +x_(2) )/(2) ,(y_(1)+y_(2) )/(2) )`

Where
`M=(8,10)`

This means that

`(x_(1) +x_(2) )/(2)=8\\ (y_(1) +y_(2) )/(2)=10`

Replacing each horizontal coordinate and solving for
`x`

`(x +(-9) )/(2)=8\\x-9=16\\x=16+9\\x=25`

Therefore, the value of
`x` is 25.