Question

find the midpoint of the line segment joining the points (-2, -3) and (-8,14).
the midpoint is
(simplify your answer. type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2,y_1 = - 3,x_2=-8,y_2 = 14$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-2+( - 8)}{2}=\frac{-2 - 8}{2}=\frac{-10}{2}=-5$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-3 + 14}{2}=\frac{11}{2}=5.5$.

Answer:

$(-5,5.5)$