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Determine the co-ordinate of M the midpoint of line NZ.

Mathematics

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2.1 Determine the co-ordinate of M the midpoint of line NZ.

  1. Recall the midpoint formula.

    The midpoint MM of a line segment with endpoints (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by:

    M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)
  2. Substitute the coordinates of N and Z.

    Given N(-6, -8) and Z(5, -3):

    M=(−6+52,−8+(−3)2)M = \left(\frac{-6 + 5}{2}, \frac{-8 + (-3)}{2}\right)
  3. Calculate

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