Distance between two points in 2D

❖ Learn how to find the *distance between two points* in *2D* in this beginner-friendly *coordinate geometry* video!

We explain the *distance formula* in *two dimensions (2D),* why it works *(from the Pythagorean Theorem),* and how to apply it both *algebraically* and *graphically* on the *coordinate plane (xy-plane)* all with clear, step-by-step *examples.*

*🎯 Key concepts covered:*
– *Distance formula in 2D:* d = √((x₂ − x₁)² + (y₂ − y₁)²)
– How the formula comes from the *Pythagorean Theorem*
– Using the *horizontal change (Δx)* and *vertical change (Δy)* to form a *right triangle* on the *xy-plane*
– *Algebraic* vs *graphical methods* (both give the same result)
– *Plotting* tips for the *coordinate plane* (horizontal/vertical changes)

*✔️ Important points:*
✅ *Distance* is always non-negative (length)
✅ In *2D,* you need *two values (x- and y-coordinates)* to locate a *point*
✅ Squaring differences removes signs; the square root returns the length
✅ The order of the points doesn’t matter, you get the same *distance*

✔️ What this video includes:
– Simple explanation of the *distance formula* in *2D*
– Step-by-step worked *examples*
– *Graphical method* using a *right triangle* with *horizontal change (Δx)* and *vertical change (Δy)* on the *xy-plane.*

*📌 Video timeline:*
0:00 ❖ Introduction
0:23 – Example 1 (algebraic)
3:33 – Example 1 (graphical)
8:03 – Example 2 (algebraic)
10:47 – Conclusion

🎯 Whether you’re a student, teacher, or *math* enthusiast, this video will help you understand how to find the *distance between two points* in *2D* and apply the *distance formula* with confidence!

✨ Watch next:
🔹 *Distance between two points* in *3D* (coming soon)

The link to *Coordinate Geometry - 1D, 2D, and 3D* Playlist:
https://youtube.com/playlist?list=PLPm9fyDNbwj86wwHqFeTXhnvLgbzl9ig0&si=7GTujitnbO-B5eJr

*My Website:*
https://www.Mulkek.com

*Subscribe to My Channel* to check out more videos:
https://youtube.com/c/Mulkek

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Видео Distance between two points in 2D канала Mulkek