Question 67

Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3).

Solution

Coordinates of mid point of line joining points $$(x_1,y_1)$$ and $$(x_2,y_2)$$ = $$(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})$$

Let coordinates of mid point $$(x , y)$$

C = (3,-5) and D = (-7,3)

=> $$x = \frac{3 - 7}{2}$$

=> $$x = \frac{-4}{2} = -2$$

Similarly, $$y = \frac{-5 + 3}{2}$$

=> $$y = \frac{-2}{2} = -1$$

Thus, coordinates of mid point (-2,-1)

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