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11.5 Distance & Midpoint F ormulas

11.5 Distance & Midpoint F ormulas. 1. Definitions. 2. Formulas & Examples. 3. 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. (x 2 ,y 2 ). distance. 1.

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11.5 Distance & Midpoint F ormulas

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  1. 11.5 Distance & Midpoint Formulas 1 Definitions 2 Formulas & Examples 3 Practice Problems

  2. Distance Formula • Distance between 2 points • Steps • Label Point 1 • Label point 2 • Determine (x1, y1) • Determine (x2, y2) • Substitute into • Solve 2 (x2,y2) distance 1 (x1,y1)

  3. Distance Example Find the distance between the points at (2,3) and (-4,6) 1 2 (x1,y1) (x2,y2)

  4. 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. 2 (-2,3) (x2,y2) 1 (8,-20) (x1,y1)

  5. Midpoint Formula • Exact center between 2 points • Steps • Label Point 1 • Label point 2 • Determine (x1, y1) • Determine (x2, y2) • Substitute into • Solve 2 Midpoint (x2,y2) 1 (x1,y1)

  6. Midpoint Example Find the midpoint between the points at (2,3) and (-4,6) 1 2 (x1,y1) (x2,y2)

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

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