Question

the coordinates for the endpoints of a line segment are (-5,13) and (-9,21). find the coordinates for the midpoint of the line segment. a. (-7, 17) b. (-4, 4) c. (-2, 4) d. (4, 17)

Answer 1

The midpoint of AB where $A(x_A;\ y_A)$ and $B(x_B;\ y_B)$

$\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

$A(-5;\ 13);\ B(-9;\ 21)$

The midpoint of AB: $\left(\dfrac{-5+(-9)}{2};\ \dfrac{13+21}{2}\right)=\left(\dfrac{-14}{2};\ \dfrac{34}{2}\right)=(-7;\ 17)$

Answer: A. (-7, 17)