Question

qr has endpoints at q(9, 12) and r(20, 18). find the midpoint m of qr. 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 $x_1 = 9,y_1=12,x_2 = 20,y_2 = 18$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{9 + 20}{2}=\frac{29}{2}=14.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{12+18}{2}=\frac{30}{2}=15$.

Answer:

$(14.5,15)$