Question

Point A lies on coordinates (-2,5) and point B lies on coordinates (8,13). What is the coordinates of midpoint of line AB?

Answer 1

Step-by-step explanation:

Let P (x, y) be the mid point of line segment AB.

$\therefore \:P (x, y) = ( \frac{ x_1 +x_2}{2} , \: \: \frac{y_1 +y_2}{2} ) \\ \\ \therefore \:P (x, y) = ( \frac{ - 2 +8}{2}, \: \: \frac{5 +13}{2} ) \\ \\ \therefore \:P (x, y) = ( \frac{ 6}{2}, \: \: \frac{18}{2} ) \\ \\ \therefore \:P (x, y) = ( 3 , \: \: 9 )$

Thus, the coordinates of the mid point P of line segment AB is (3, 9).