Formula for distance

Given two points (x₁, y₁), (x₂, y₂) the formula for distance is calculated with the following formula.





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