Question

find the coordinates of the midpoint of the line segment that joins the two given points. (x, y) = (-9, -5) and (x, y) = (4, 1) (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 $x_1=-9,y_1 = - 5,x_2 = 4,y_2=1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-9 + 4}{2}=\frac{-5}{2}=-2.5$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(-2.5,-2)$