Question

Find the co-ordinates of the mid-point of the line segment joining:

\(\mathrm{A}(5, 7)\) and \(\mathrm{B}(-3, -1)\)

Answer 1

The mid-point of a segment with ends $$A(x_1, y_1)$$ and $$B(x_2, y_2)$$ is $$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$.

$$M = \left(\frac{5 + (-3)}{2}, \frac{7 + (-1)}{2}\right)$$

$$= \left(\frac{2}{2},\frac{6}{2}\right)$$

$$= (1,3)$$