Solve a problem

Coordinate geometryGeometryMiddle schoolabout 0:57

Find the midpoint of (-6, -2) and (4, 10): animated lesson

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

SpeedLanguage

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 (-6, -2) and (4, 10).
2. Step by step
1. $x_M = \frac{-6 + 4}{2} = -1$
  Average the x-coordinates
2. $y_M = \frac{-2 + 10}{2} = 4$
  Average the y-coordinates
3. $|AM| = |MB| = \sqrt{61} \approx 7.810249676,\quad |AB| = 2\sqrt{61} \approx 15.62049935$
  Check: M is the same distance from both ends
3. The answer
$M = (-1, 4)$
M = (-1, 4)
4. Check
- |AM| = |MB| = √61 ≈ 7.810249676, half of |AB| = 2√61 ≈ 15.62049935.

Transcript

The problem. Here is the problem: Find the midpoint of (negative 6, negative 2) and (4, 10). 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 (negative 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 the square root of 61 approximately 7.810249676, half of |AB| equals 2the square root of 61 approximately 15.62049935.

About coordinate geometry

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

Find the midpoint of (-6, -2) and (4, 10): Animated Lesson