Correct answer is Option C: ![(\frac{5}{2} , 3 )](/tpl/images/2476/0741/61ed1.png)
Step-by-step explanation:
Given points (3, 7) and (2, -1), we can use the following Midpoint Formula to find out what is the halfway mark of the given segment:
![M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )](/tpl/images/2476/0741/fd1a0.png)
Let x1 = 3
x2 = 2
y1 = 7
y2 = -1
Plug in these values into the Midpoint formula:
![M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )](/tpl/images/2476/0741/fd1a0.png)
![M = (\frac{3 + 2}{2} , \frac{-1 + 7}{2} )](/tpl/images/2476/0741/d318b.png)
![M = (\frac{5}{2} , \frac{6}{2} ) = (\frac{5}{2} , 3 )](/tpl/images/2476/0741/4ac90.png)
Therefore, the midpoint of the given segment is
.