Find the co-ordinates of the mid point of the line segment joining the points A(–3,2) and B(7,8).

Here \$(x_1, y_1) = (-3, 2), (x_2, y_2) = (7, 8)\$

The required point is given by

\$ ( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )\$

Substiutute the values.

\$\Rightarrow (\frac{(-3) + 7}{2}, \frac{2 + 8}{2} ) \$

Add.

\$\Rightarrow ( \frac{4}{2}, \frac{10}{2} ) \$

Cancel out commmon factor.

\$ \Rightarrow \frac{ \cancel{4} ^{2} }{ \cancel{2} ^{1}}, \frac{ \cancel{10} ^{5}}{\cancel{2} ^{1}} \$

Answer

The point which divides the line segment joining the points (–1, 2) and (4,–5) is ( 2, 5).