Question

What is the midpoint of the segment shown below?10(3, 7)A. (2,6)B. (2,3)(2,-1)C. (5, 6)D. (5,3)-10-1010

Answer 1

Given the endpoints of the segment:

$\begin{gathered} (3,7) \\ (2,-1) \end{gathered}$

You need to use this formula in order to find its midpoint:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

In this case, you can set up that:

$\begin{gathered} x_1=3 \\ x_2=2 \\ y_1=7 \\ y_2=-1 \end{gathered}$

Substitute values into the formula and evaluate:

$M=(\frac{3+2}{2},\frac{7+(-1)}{2})$$M=(\frac{5}{2},\frac{7-1}{2})$$M=(\frac{5}{2},\frac{6}{2})$$M=(\frac{5}{2},3)$

Hence, the answer is: Option B.