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Chapter 12 Conics

Chapter 12 Conics. Section 1 Distance and Midpoint Formulas. Section 12.1 Objectives. 1 Use the Distance Formula 2 Use the Midpoint Formula. y. P 2 = ( x 2 , y 2 ). d ( P 1 , P 2 ) . |y 2 – y 1 |. x. P 2 =( x 1 , y 1 ). |x 2 – x 1 |. The Distance Formula.

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Chapter 12 Conics

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  1. Chapter 12 Conics Section 1 Distance and Midpoint Formulas

  2. Section 12.1 Objectives 1 Use the Distance Formula 2 Use the Midpoint Formula

  3. y P2 = (x2, y2) d(P1, P2) |y2 – y1| x P2 =(x1, y1) |x2 – x1| The Distance Formula The Distance Formula The distance between two points P1 = (x1, y1) and P2 = (x2, y2), is

  4. The Distance Formula Example: Determine the distance between (3, 5) and (3, 3).

  5. The Distance Formula Example: Find the distance between (– 6, – 6) and (– 5, – 2).

  6. The Midpoint Formula The Midpoint Formula The midpoint M = (x, y) of the line segment from P1 = (x1, y1) to P2 = (x2, y2) is The midpoint of a line segment is the point located exactly halfway between the two endpoints of the line segment.

  7. The Midpoint Formula y 8 x -8 8 -8 Example: Find the midpoint of the line segment joining P1 = (0, 8) and P2 =(4, – 6). M = (2, 1)

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