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

May 13, 2026Mathematics

ScanSolve AI Answer

May 13, 2026

Answer

$\left(-\frac{1}{2}, -\frac{9}{2}\right)$

Step 1: Determine the coordinates of M, the midpoint of line NZ. The coordinates of N are $(-6, -6)$ and Z are $(5, -3)$ . The midpoint formula is $M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$ . Substitute the coordinates of N and Z: $M = \left(\frac{-6+5}{2}, \frac{-6+(-3)}{2}\right)$ $M = \left(\frac{-1}{2}, \frac{-9}{2}\right)$ The coordinates of M are $\boxed{\left(-\frac{1}{2}, -\frac{9}{2}\right)}$ .

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Determine the coordinates of M, the midpoint of line NZ. The coordinates of N are (-6, -6) and Z are (5, -3).

Asked on May 13, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 13, 2026

Step 1: Determine the coordinates of M, the midpoint of line NZ. The coordinates of N are (-6, -6) and Z are (5, -3). The midpoint formula is M = ((x_1+x_2)/(2), (y_1+y_2)/(2)). Substitute the coordinates of N and Z: M = ((-6+5)/(2), (-6+(-3))/(2)) M = ((-1)/(2), (-9)/(2)) The coordinates of M are (-(1)/(2), -(9)/(2)).