Question

a line - segment has the endpoints g(9, 2) and h(3, 2). find the coordinates of its mid - point 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, $x_1 = 9,y_1 = 2,x_2 = 3,y_2 = 2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{9 + 3}{2}=\frac{12}{2}=6$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+2}{2}=\frac{4}{2}=2$.

Answer:

$(6,2)$