Respuesta :

Option B:

Midpoint = (6, 3)

Solution:

Given points of the line segment are (2, 3) and (10, 3).

Here, [tex]x_1=2, x_2=10, y_1=3, y_2=3[/tex]

To find the midpoint of the line segment:

Midpoint formula:

[tex]$\text{Midpoint}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

               [tex]$=\left(\frac{2+10}{2}, \frac{3+3}{2}\right)[/tex]

               [tex]$=\left(\frac{12}{2}, \frac{6}{2}\right)[/tex]

               [tex]=(6,3)[/tex]

Midpoint = (6, 3)

Option B is the correct answer.

The midpoint of the given line segment is (6, 3).