Question

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

Step2: Calculate x - coordinate of mid - point

$x=\frac{10 + 2}{2}=\frac{12}{2}=6$

Step3: Calculate y - coordinate of mid - point

$y=\frac{8+6}{2}=\frac{14}{2}=7$

Answer:

$(6,7)$