Question

a line - segment has the endpoints j(5, 11) and k(20, 2). find the coordinates of its midpoint. 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, $x_1 = 5,y_1=11,x_2 = 20,y_2 = 2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{5 + 20}{2}=\frac{25}{2}=12.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{11+2}{2}=\frac{13}{2}=6.5$.

Answer:

$(12.5,6.5)$