# 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

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