Question

a line segment has the endpoints t(8, 12) and u(19, 14). find the coordinates of its midpoint m. 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 $x_1 = 8,y_1=12,x_2 = 19,y_2 = 14$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8 + 19}{2}=\frac{27}{2}=13.5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{12+14}{2}=\frac{26}{2}=13$

Answer:

$(13.5,13)$