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=((x_1+x_2)/(2),(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=((3+2)/(2),(7+(-1))/(2))`
`M=((5)/(2),(7-1)/(2))`
`M=((5)/(2),(6)/(2))`
`M=((5)/(2),3)`

Hence, the answer is: Option B.