Formula for distance
Given two points (x
_{1}, y
_{1}), (x
_{2}, y
_{2}) the formula for distance is calculated with the following formula.

__________________

Distance = √

(x_{1}  x_{2})^{2} + (y_{1}  y_{2})^{2}

Example #1:
Use the distance formula to find the distance between (2,3) and (6,6)
Let (x
_{1}, y
_{1}) = (2,3)
Let (x
_{2}, y
_{2}) = (6,6)

________________

Distance = √

(2  6)^{2} + (3  6)^{2}


___________

Distance = √

(4)^{2} + (3)^{2}


_________

Distance = √

(16) + (9)

Example #2:
Use the distance formula to find the distance between (17,12) and (9,6)
Let (x
_{1}, y
_{1}) = (17,12)
Let (x
_{2}, y
_{2}) = (9,6)

__________________

Distance = √

(17  9)^{2} + (12  6)^{2}


__________

Distance = √

(8)^{2} + (6)^{2}


___________

Distance = √

(64) + (36)

Example #3:
Use the distance formula to find the distance between (17,12) and (9,6)
Let (x
_{1}, y
_{1}) = (7,8)
Let (x
_{2}, y
_{2}) = (4,5)

________________

Distance = √

(7  4)^{2} + (8  5)^{2}


__________

Distance = √

(3)^{2} + (3)^{2}


________

Distance = √

(9) + (9)


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