Step-by-step explanation:
Let P (x, y) be the mid point of line segment AB.
[tex] \therefore \:P (x, y) = ( \frac{ x_1 +x_2}{2} , \: \: \frac{y_1 +y_2}{2} ) \\ \\ \therefore \:P (x, y) = ( \frac{ - 2 +8}{2}, \: \: \frac{5 +13}{2} ) \\ \\ \therefore \:P (x, y) = ( \frac{ 6}{2}, \: \: \frac{18}{2} ) \\ \\ \therefore \:P (x, y) = ( 3 , \: \: 9 ) \\ \\ [/tex]
Thus, the coordinates of the mid point P of line segment AB is (3, 9).
