Question

find the midpoint of the line segment with the given endpoints. (-4, -8)and (-1, -2)
the midpoint is . (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 $x_1=-4,y_1 = - 8,x_2=-1,y_2=-2$.

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

$x=\frac{-4+( - 1)}{2}=\frac{-4 - 1}{2}=\frac{-5}{2}=-2.5$

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

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

Answer:

$(-2.5,-5)$