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

May 19, 2026Mathematics

ScanSolve AI Answer

May 19, 2026

Answer

\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) $$

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

Step 1: Recall the midpoint formula. The midpoint $M$ of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$

Step 2: Substitute the coordinates of N and Z. Given N(-6, -8) and Z(5, -3): $M = \left(\frac{-6 + 5}{2}, \frac{-8 + (-3)}{2}\right)$

Step 3: Calculate

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** 2.1 Determine the co-ordinate of M the midpoint of line NZ. Step 1: Recall the midpoint formula.

Asked on May 19, 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 19, 2026

** 2.1 Determine the co-ordinate of M the midpoint of line NZ. Step 1: Recall the midpoint formula. The midpoint M of a line segment with endpoints (x_1, y_1) and (x_2, y_2) is given by: M = ((x_1 + x_2)/(2), (y_1 + y_2)/(2)) Step 2: Substitute the coordinates of N and Z. Given N(-6, -8) and Z(5, -3): M = ((-6 + 5)/(2), (-8 + (-3))/(2)) Step 3: Calculate