# What is the midpoint of A(2, –3, 1) and Z(–6, 3, 1)??

Mar 16, 2016

( -2 , 0 , 1 )

#### Explanation:

Using the $\textcolor{b l u e}{\text{ mid-point formula }}$

given 2 points $\left({x}_{1} , {y}_{1} , {z}_{1}\right) \text{ and } \left({x}_{2} , {y}_{2} , {z}_{2}\right)$

then the midpoint of these 2 points is :

$\left[\frac{1}{2} \left({x}_{1} + {x}_{2}\right) , \frac{1}{2} \left({y}_{1} + {y}_{2}\right) , \frac{1}{2} \left({z}_{1} + {z}_{2}\right)\right]$

For the points A(2,-3,1) and Z(-6,3,1) the mid-point is :

$\left[\frac{1}{2} \left(2 - 6\right) , \frac{1}{2} \left(- 3 + 3\right) , \frac{1}{2} \left(1 + 1\right)\right] = \left(- 2 , 0 , 1\right)$