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To determine the coordinates of M, the midpoint of line NZ, we use the midpoint formula. Given N(-6;-6) and Z(5;-3).

Mathematics

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(−12;−92)\left(-\frac{1}{2}; -\frac{9}{2}\right)

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Here is the completed solution for Question 2.1.

Question 2.1:
To determine the coordinates of M, the midpoint of line NZ, we use the midpoint formula.
Given N(-6;-6) and Z(5;-3).

  1. Apply the midpoint formula M=(x1+x22,y1+y22)M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right).

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

  2. Calculate the coordinates.

    M=(−12,−92)M = \left(\frac{-1}{2}, \frac{-9}{2}\right) M=(−12;−92)M = \boxed{\left(-\frac{1}{2}; -\frac{9}{2}\right)}
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