Write the following coordinates where they belong in the line segments below. (5 1/2, -4 1/4) _______ (3 3/4, -1 1/4)

ANSWER[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]EXPLANATIONThe 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