Answer:
Correct answer is Option C: [tex](\frac{5}{2} , 3 )[/tex]
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:
[tex]M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Let x1 = 3
x2 = 2
y1 = 7
y2 = -1
Plug in these values into the Midpoint formula:
[tex]M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex]M = (\frac{3 + 2}{2} , \frac{-1 + 7}{2} )[/tex]
[tex]M = (\frac{5}{2} , \frac{6}{2} ) = (\frac{5}{2} , 3 )[/tex]
Therefore, the midpoint of the given segment is [tex](\frac{5}{2} , 3 )[/tex].
