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Find the coordinates of the midpoint M of the line segment NZ with endpoints N(-6, -6) and Z(5, -3).

Mathematics

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

Step 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)

Step 2: Calculate the coordinates.

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