Question

Find the coordinates of the midpoint of a segment with the following midpoint A (5,2) & B(-3,-6)

Answer 1

We know that if we have two points: $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$, then the midpoint $O$ of the segment AB has coordinates: $O\left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}\right)$.

In our case we have: $A(5,2)$ and $B(-3,-6)$. Then the midpoint $O$ of the segment AB has coordinates: $O\left(\frac{5 + (-3)}{2}, \frac{2 + (-6)}{2}\right) = O(1,-2)$.

**Answer:** the coordinates of the midpoint is the midpoint $O$ of the segment AB has coordinates: $O(1, -2)$.