Question

u(-9, 9) and v(-16, 12) are the endpoints of a line segment. what is the midpoint m of that line segment? 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 $x_1=-9,y_1 = 9,x_2=-16,y_2 = 12$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-9+( - 16)}{2}=\frac{-9 - 16}{2}=\frac{-25}{2}=-12.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{9 + 12}{2}=\frac{21}{2}=10.5$.

Answer:

$M=(-12.5,10.5)$