Question

a line segment has the endpoints g(1, 13) and h(20, 18). 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, $x_1 = 1,y_1=13,x_2 = 20,y_2 = 18$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{1 + 20}{2}=\frac{21}{2}=10.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{13+18}{2}=\frac{31}{2}=15.5$.

Answer:

$(10.5,15.5)$