Question

pq has endpoints at p(3, 6) and q(11, 18). find the midpoint m of pq. write the coordinates as decimals or integers.

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, $x_1 = 3,y_1=6,x_2 = 11,y_2 = 18$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{3 + 11}{2}=\frac{14}{2}=7$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{6+18}{2}=\frac{24}{2}=12$.

Answer:

$(7,12)$