ANSWER
[tex](0, - 1)[/tex]
EXPLANATION
The midpoint formula is given by:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
To find the midpoint of the segment joining A (3,4) and B (-3,-6), we substitute the points into the formula:
[tex](\frac{3+ - 3}{2},\frac{4+ - 6}{2})[/tex]
We simplify to obtain;
[tex](\frac{0}{2},\frac{ - 2}{2})[/tex]
This gives us;
[tex](0, - 1)[/tex]
The midpoint of line segment AB is (0,-1)
