Question

a line segment has the endpoints q(-29, -41) and r(-34, -83). find the coordinates of its midpoint m.
write the coordinates as decimals or integers.
m = (

your answer:
m = (-31.5, -62)

check my answer

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-29,y_1 = - 41,x_2=-34,y_2=-83$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-29+( - 34)}{2}=\frac{-29 - 34}{2}=\frac{-63}{2}=-31.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-41+( - 83)}{2}=\frac{-41 - 83}{2}=\frac{-124}{2}=-62$.

Answer:

$M=(-31.5,-62)$