Question

find the midpoint of the line segment with the given endpoints. (10,8) and (6,2) the midpoint of the segment is (type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=10,y_1 = 8,x_2=6,y_2 = 2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{10 + 6}{2}=\frac{16}{2}=8$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{8+2}{2}=\frac{10}{2}=5$.

Answer:

$(8,5)$