Question

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

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

$x=\frac{-4+( - 8)}{2}=\frac{-4 - 8}{2}=\frac{-12}{2}=-6$.

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

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

Answer:

$(-6,-2.5)$