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Coordinate geometryGeometryMiddle schoolabout 0:55

Find the midpoint of (1.5, 2) and (3.5, -6): animated lesson

A narrated, step-by-step coordinate geometry video lesson with captions. Final answer: M = (5/2, -2).

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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 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
Find the midpoint of (1.5, 2) and (3.5, -6).
2. Step by step
1. $x_M = \frac{\frac{3}{2} + \frac{7}{2}}{2} = \frac{5}{2}$
  Average the x-coordinates
2. $y_M = \frac{2 + -6}{2} = -2$
  Average the y-coordinates
3. $|AM| = |MB| = \sqrt{17} \approx 4.123105626,\quad |AB| = 2\sqrt{17} \approx 8.246211251$
  Check: M is the same distance from both ends
3. The answer
$M = (\frac{5}{2}, -2)$
M = (5/2, -2)
4. Check
- |AM| = |MB| = √17 ≈ 4.123105626, half of |AB| = 2√17 ≈ 8.246211251.

Transcript

The problem. Here is the problem: Find the midpoint of (1.5, 2) and (3.5, negative 6). 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 (5 over 2, negative 2). 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 the square root of 17 approximately 4.123105626, half of |AB| equals 2the square root of 17 approximately 8.246211251.

About coordinate geometry

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

Find the midpoint of (1.5, 2) and (3.5, -6): Animated Lesson