Question

uv has endpoints at u(-80, -82) and v(-22, -41). find the midpoint m of uv. write the coordinates as decimals or integers. m = ( , )

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 $x_1=-80,y_1=-82,x_2=-22,y_2=-41$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-80+( - 22)}{2}=\frac{-80 - 22}{2}=\frac{-102}{2}=-51$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-82+( - 41)}{2}=\frac{-82 - 41}{2}=\frac{-123}{2}=-61.5$.

Answer:

$(-51,-61.5)$