Question

a line segment has the endpoints u(4, 11) and v(9, 16). 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, $x_1 = 4,y_1=11,x_2 = 9,y_2 = 16$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4 + 9}{2}=\frac{13}{2}=6.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{11+16}{2}=\frac{27}{2}=13.5$.

Answer:

$(6.5,13.5)$