11.5 Distance & Midpoint Formulas 33 22 11 Definitions Formulas & Examples Practice Problems.

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Presentation transcript:

11.5 Distance & Midpoint Formulas Definitions Formulas & Examples Practice Problems

Distance Formula  Distance between 2 points  Steps  Label Point 1  Label point 2  Determine (x 1, y 1 )  Determine (x 2, y 2 )  Substitute into  Solve 2

Distance Example Find the distance between the points at (2,3) and (-4,6) 3

Another Distance Example Tracey hits a golf ball that lands 20 feet short and 8 feet to the right of the cup. On her first putt, the ball lands 2 feet to the left and 3 feet beyond the cup. Assuming the ball travelled in a straight line, determine how far it travelled. 4 (8,-20) (-2,3)

Midpoint Formula  Exact center between 2 points  Steps  Label Point 1  Label point 2  Determine (x 1, y 1 )  Determine (x 2, y 2 )  Substitute into  Solve 5

Midpoint Example Find the midpoint between the points at (2,3) and (-4,6) 6

Practice Problems  Page 613 Problems 13-26, distance and midpoint Even due today Odd due next class 7