Distance and Midpoint

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LESSON 29

• Distance and Midpoint

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WARM UP

• Find the slope of the line passing through each
  pair of points.
• (-2, 5) and (6, 8)
• (3, 0) and (3, 10)
• (-3, 7) and (-4, 8)

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MIDPOINT FORMULA

• Given two points (x1, y1) and (x2, y2) the
  coordinates of the midpoint are
• x1 x2 y1 y2
• 2 , 2

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EXAMPLE 1

• Find the coordinates of the midpoint of the
  segment with endpoints at (12, -8) and (-3, 15).

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EXAMPLE 2

• Find the coordinates of the midpoint of the
  segment with endpoints at (5, 8) and (7, -2).

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EXAMPLE 3

• One endpoint is (17,-3) and the midpoint is
  (8,2).
• Find the coordinates of the other endpoint.

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EXAMPLE 4

• One endpoint is (-5,8) and the midpoint is (6,3).
  Find the coordinates of the other endpoint.

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THE DISTANCE FORMULA

• A formula for computing the distance between two
  points in a coordinate plane.
• If A(x1,y1) and B(x2,y2) are points in a
  coordinate plane, then the distance between A and
  B is

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EXAMPLE 5

• Find the length of the line segment with
  endpoints at (12, -8) and (-3, 15).

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EXAMPLE 6

• Find the length of the line segment with
  endpoints at (5, 8) and (7, -2).