# Formula for distance

Given two points (x1, y1), (x2, y2) the formula for distance is calculated with the following formula. __________________ Distance = √ (x1 - x2)2 + (y1 - y2)2

Example #1:

Use the distance formula to find the distance between (2,3) and (6,6)

Let (x1, y1) = (2,3)

Let (x2, y2) = (6,6)

 ________________ Distance = √ (2 - 6)2 + (3 - 6)2

 ___________ Distance = √ (-4)2 + (-3)2

 _________ Distance = √ (16) + (9)

 ___ Distance = √ 25

 Distance = 5

Example #2:

Use the distance formula to find the distance between (17,12) and (9,6)

Let (x1, y1) = (17,12)

Let (x2, y2) = (9,6)

 __________________ Distance = √ (17 - 9)2 + (12 - 6)2

 __________ Distance = √ (8)2 + (6)2

 ___________ Distance = √ (64) + (36)

 ____ Distance = √ 100

 Distance = 10

Example #3:

Use the distance formula to find the distance between (17,12) and (9,6)

Let (x1, y1) = (7,8)

Let (x2, y2) = (4,5)

 ________________ Distance = √ (7 - 4)2 + (8 - 5)2

 __________ Distance = √ (3)2 + (3)2

 ________ Distance = √ (9) + (9)

 ____ Distance = √ 18

## Recent Articles 1. ### Basic Math Review Game - Math adventure!

May 19, 19 09:20 AM

Basic math review game - The one and only math adventure game online. Embark on a quest to solve math problems!

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons. Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

## Recent Articles 1. ### Basic Math Review Game - Math adventure!

May 19, 19 09:20 AM

Basic math review game - The one and only math adventure game online. Embark on a quest to solve math problems! 