Mid point of a line segement

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Find the midpoint of the two points $A\left(-3,\frac{-5}{6}\right)\text{ and }B\left(\frac{1}{9},\frac{-8}{9}\right)$.

**Answer**

$\text{The mid point }M \text{ of any two points } P\left(x_1 ,y_1\right) \text{ and } Q\left(x_2, y_2\right)\text{ is given by }\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$.

$\text{So, the mid point of the given two points is given by:}$

$\left(\frac{-3+\frac{1}{9}}{2},\frac{\frac{-5}{6}-\frac{8}{9}}{2}\right)=\left(\frac{\frac{-26}{9}}{2},\frac{\frac{-31}{18}}{2}\right)=\left(\frac{-13}{9},\frac{-31}{36}\right)$