Question

find the midpoint of the line segment with the given endpoints. (8,4) and (10,6)
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 $x_1=8,y_1 = 4,x_2=10,y_2=6$.

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

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

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

$y=\frac{4+6}{2}=\frac{10}{2}=5$.

Answer:

$(9,5)$