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Understanding Distance and Midpoint in the Cartesian Plane

This section explores the concepts of distance and midpoint in the Cartesian plane. The distance between two points can be calculated using the distance formula based on their coordinates. For example, the distance between points (2,1) and (4,5) is derived using the formula. Furthermore, the midpoint of a line segment connecting two points is determined using the formula M = (A + B)/2. This section includes examples that illustrate how to find both the distance and midpoint for various pairs of coordinates.

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Understanding Distance and Midpoint in the Cartesian Plane

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  1. Section 2.1 Cartesian Plane, Distance, and Midpoint

  2. The distance between two points can be found by using the distance formula with the endpoints and

  3. Find the distance between the points (2,1) and (4,5)

  4. Find the distance between (2, -1) and (-3, -6)

  5. Midpoint of a Segment- Midpoint of a segment with endpoints and is given by: A B M AM = MB

  6. Find the midpoint of (2,-3) and (-4, -6) Find the midpoint of (2,3) and (4, 9)

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