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Coordinate geometryGeometryMiddle schoolabout 0:36

Find the midpoint of (-3, 1) and (5, 7): animated lesson

A narrated, step-by-step coordinate geometry video lesson with captions. Final answer: M = (1, 4).

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
Find the midpoint of (-3, 1) and (5, 7).
2. Step by step
1. $x_M = \frac{-3 + 5}{2} = 1$
  Average the x-coordinates
2. $y_M = \frac{1 + 7}{2} = 4$
  Average the y-coordinates
3. $|AM| = |MB| = 5,\quad |AB| = 10$
  Check: M is the same distance from both ends
3. The answer
$M = (1, 4)$
M = (1, 4)
4. Check
- |AM| = |MB| = 5, half of |AB| = 10.

Transcript

The problem. Here is the problem: Find the midpoint of (negative 3, 1) and (5, 7). The midpoint is the point halfway along the segment AB.

Step by step. Average the x-coordinates. Average the y-coordinates. Check: M is the same distance from both ends.

The answer. So the answer is M equals (1, 4). Each coordinate of the midpoint is the average of the endpoints prime coordinates, so the midpoint splits the segment into two equal halves.

Check. |AM| equals |MB| equals 5, half of |AB| equals 10.

About coordinate geometry

Distance, midpoint and slope between points in the coordinate plane.

Find the midpoint of (-3, 1) and (5, 7): Step-by-Step Lesson