Distance and Midpoint FormulasFind the distance between two randomly selected points.

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x y1 1,b g

x y2 2,b g

a b c2 2 2

x x2 1

2b gy y2 1

d x x y y 2 1

2

2 1

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y y2 1

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x x y y c2 1

2

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Distance and Midpoint FormulasFind the distance between two points using the distance formula.

d x x y y 2 1

2

2 1

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2b gb g2

d b gb g2 2

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Distance and Midpoint FormulasFind the distance between two points using the distance formula.

d x x y y 2 1

2

2 1

2b gb gd +

2b gb g2

d bgb g2 2

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Distance and Midpoint FormulasFind the distance between two points using the distance formula.

d x x y y 2 1

2

2 1

2b gb gd +

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d bgb g2 2

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1 4 bg 4 2

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5 2 25 4

Distance and Midpoint Formulas4. From your home, you ride your bicycle 8 miles east, then 15 miles south. How far are you from your home?

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a b c2 2 2 8 152 2 2 c

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c 289 17 miles

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Distance and Midpoint FormulasFind the midpoint between the two points.

x x y y1 2 1 2

2 2

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Midpoint is like finding the average.

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Distance and Midpoint FormulasFind the midpoint between the two points.

x x y y1 2 1 2

2 2

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6

2

Midpoint is like finding the average.

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Distance and Midpoint FormulasFind the midpoint between the two points.

x x y y1 2 1 2

2 2

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6

Midpoint is like finding the average.

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Distance and Midpoint Formulas