Mid point of a line segement

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Find the midpoint of the two points $A\left(1,\frac{-4}{7}\right)\text{ and }B\left(\frac{-5}{4},\frac{8}{5}\right)$.

**Answer**

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

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

$\left(\frac{1-\frac{5}{4}}{2},\frac{\frac{-4}{7}+\frac{8}{5}}{2}\right)=\left(\frac{\frac{-1}{4}}{2},\frac{\frac{36}{35}}{2}\right)=\left(\frac{-1}{8},\frac{18}{35}\right)$