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What is the midpoint of the line segment joining the points $(- 5,, 2)$ and $(7,, - 4)$ ?

easy MCQ 2 marks Class 5 · Mathematics · Boxes and Sketches

(1, 1)
(1, -1)
(-1, 1)
(-1, -1)

Answer

(1, -1)

The correct answer is (1, -1) — Thus the midpoint is $(1, - 1)$ .

Step-by-step solution

Apply the midpoint formula: $(\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$ .
Add the $x$ ‑coordinates: $- 5 + 7 = 2$ .
Add the $y$ ‑coordinates: $2 + (- 4) = - 2$ .
Divide each sum by 2: $2/2 = 1$ and $- 2/2 = - 1$ .
Thus the midpoint is $(1, - 1)$ .

Common mistake: Adding instead of averaging or mis‑handling signs

Concept tested: Midpoint of a line segment

Published 10 October 2026 · How this solution was prepared and checked

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