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Distance and Midpoint Formulas: A Comprehensive Guide

Learn how to calculate distance and midpoints between points using formulas. Practice examples provided for better understanding. Find the center of line segments with ease.

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Distance and Midpoint Formulas: A Comprehensive Guide

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  1. The Distance and Midpoint Formulas 9.1

  2. Distance Formula

  3. Distance Formula

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

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

  6. Midpoint Formula • Used to find the center of a line segment

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

  8. YOU TRY!! • Find the midpoint between: • A) (2, 7) and (14, 9) • B) (-5, 8) and (2, - 4)

  9. Example • Find y so that the distance between the two points is 10. • (-4,6) and (2,y)

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

  11. Homework

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