# The endpoints of a line segment are at the coordinates (3, 4, 6) and (5, 7, -2). What Is the midpoint of the segment?

Aug 21, 2016

The reqd. mid-pt.$\text{M is M(4,11/2,2)}$.

#### Explanation:

For the given pts. $A \left({x}_{1} , {y}_{1} , {z}_{1}\right) \mathmr{and} B \left({x}_{2} , {y}_{2} , {z}_{2}\right)$, the midpt.

$M$ of the segment $A B$ is given by,

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

Hence, the reqd. mid-pt.$\text{M is M(4,11/2,2)}$.