Question

vw has endpoints at v(15, 11) and w(8, 19). find the midpoint m of vw. 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, $x_1 = 15,y_1=11,x_2 = 8,y_2 = 19$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{15 + 8}{2}=\frac{23}{2}=11.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{11+19}{2}=\frac{30}{2}=15$.

Answer:

$(11.5,15)$