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

Answer:

the value of $x$ is 25.

Step-by-step explanation:

Givens

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

Now, the formula of a midpoint is

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

Where $M=(8,10)$

This means that

$\frac{x_{1} +x_{2} }{2}=8\\ \frac{y_{1} +y_{2} }{2}=10$

Replacing each horizontal coordinate and solving for $x$

$\frac{x +(-9) }{2}=8\\x-9=16\\x=16+9\\x=25$

Therefore, the value of $x$ is 25.