Question

a line segment has the endpoints v(10, 7) and w(8, 9). find the coordinates of its mid - point. 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, $x_1 = 10,y_1=7,x_2 = 8,y_2 = 9$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{10 + 8}{2}=\frac{18}{2}=9$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{7+9}{2}=\frac{16}{2}=8$.

Answer:

$(9,8)$