Question

find the midpoint of the line segment with the endpoints a and b. a(8,6); b(2,10) the midpoint of the line 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 $x_1=8,y_1 = 6,x_2=2,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(5,8)$