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

Mathematics

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Answer

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

Step 1: Determine the coordinates of M, the midpoint of line NZ.
The coordinates of N are (−6,−6)(-6, -6) and Z are (5,−3)(5, -3).
The midpoint formula is M=(x1+x22,y1+y22)M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right).
Substitute the coordinates of N and Z:

M=(−6+52,−6+(−3)2)M = \left(\frac{-6+5}{2}, \frac{-6+(-3)}{2}\right) M=(−12,−92)M = \left(\frac{-1}{2}, \frac{-9}{2}\right)

The coordinates of M are (−12,−92)\left(-\frac{1}{2}, -\frac{9}{2}\right).

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