The Distance and Midpoint Formulas

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The Distance and Midpoint Formulas

• 9.1

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Distance Formula

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Distance Formula
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Example

• Find the distance between A(4,8) and B(1,12)

A (4, 8)
B (1, 12)
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YOU TRY!!

• Find the distance between
• A. (2, 7) and (11, 9)
• B. (-5, 8) and (2, - 4)

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Midpoint Formula

• Used to find the center of a line segment

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Example

• Find the midpoint between A(4,8) and B(1,12)

A (4, 8)
B (1, 12)
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YOU TRY!!

• Find the midpoint between
• A) (2, 7) and (14, 9)
• B) (-5, 8) and (2, - 4)

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Example

• Find y so that the distance between the two
  points is 10.

• (-4,6) and (2,y)

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Solution

• Plug (-4,6) and (2,y) into the equation and set
  it equal to 10.

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Homework