ANSWER
[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]
EXPLANATION
The end points of the segment are:
[tex](5 \frac{1}{2} ,-4 \frac{1}{4} )[/tex]
and
[tex](3 \frac{3}{4} ,-1 \frac{1}{4} )[/tex]
The box represents the midpoint of the two points.
Using the midpoint formula;
[tex]( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
We substitute the end points of the line segment to obtain,
[tex]( \frac{5 \frac{1}{2} +3 \frac{3}{4} }{2} , \frac{ - 4 \frac{1}{?} + - 1 \frac{1}{4} }{2} )[/tex]
This simplifies to:
[tex]( \frac{37}{8} , - \frac{11}{4} )[/tex]
We convert back to mixed numbers to get,
[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]
The correct choice is B
