Question

find the coordinates of the midpoint of the line segment that joins the two given points. (x, y) = (-4, -8) and (x, y) = (-1, -5) (x, y) = ( ) resources ebook example video

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 $x_1=-4,y_1 = - 8,x_2=-1,y_2=-5$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

$y=\frac{-8+( - 5)}{2}=\frac{-8 - 5}{2}=\frac{-13}{2}=-6.5$.

Answer:

$(-2.5,-6.5)$