Question

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

\(\mathrm{P}(-5, -8)\) and \(\mathrm{Q}(3,4)\)

Answer 1

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

$$M = \left(\frac{-5 + 3}{2}, \frac{-8 + 4}{2}\right)$$

$$= \left(\frac{-2}{2}, \frac{-4}{2}\right)$$

$$= (-1, -2)$$