WEBVTT

1
00:00:00.000 --> 00:00:06.142
Here is the problem: Find the distance between (negative 1, negative 1) and (2, 3).

2
00:00:06.592 --> 00:00:10.458
Find the straight-line (Euclidean) distance between two points in the plane.

3
00:00:11.258 --> 00:00:12.361
Label the points.

4
00:00:12.811 --> 00:00:15.412
Find the horizontal and vertical differences.

5
00:00:15.862 --> 00:00:17.836
Square the differences and add them.

6
00:00:18.286 --> 00:00:19.563
Take the square root.

7
00:00:20.363 --> 00:00:22.406
Midpoint (average of the coordinates).

8
00:00:23.206 --> 00:00:25.667
So the answer is d equals 5.

9
00:00:26.117 --> 00:00:34.766
The distance formula is the Pythagorean theorem applied to the right triangle whose legs are the horizontal and vertical differences between the points.

10
00:00:35.566 --> 00:00:41.905
d squared equals 25 matches deltax squared plus deltay squared equals 25.