Question

find the midpoint of the line segment with the given endpoints. (-6, -7) and (-7, -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 $x_1=-6,y_1 = - 7,x_2=-7,y_2=-2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-6+( - 7)}{2}=\frac{-6 - 7}{2}=\frac{-13}{2}=-6.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-7+( - 2)}{2}=\frac{-7 - 2}{2}=\frac{-9}{2}=-4.5$.

Answer:

$(-6.5,-4.5)$