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Understanding Coordinates in the Plane

Explore the concept of points, regions, distance, and midpoints in the coordinate plane. Learn about ordered pairs, quadrants, the origin, and distance formulas for graphing in this introductory mathematics section.

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Understanding Coordinates in the Plane

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  1. MATH 1310 Section 1.1

  2. Section 1.1: Points, Regions, Distance and Midpoints

  3. Section 1.1: Points, Regions, Distance and Midpoints As we see the plane consists of two perpendicular lines, the x-axis and the y-axis. These two lines separate them into four regions, or quadrants. The pair, (x, y), is called an ordered pair. It corresponds to a single unique point in the coordinate plane. The first number is called the x coordinate, and the second number is called the y coordinate. The ordered pair (0, 0) is referred to as the origin. The x coordinate tells us the horizontal distance a point is from the origin. The y coordinate tells us the vertical distance a point is from the origin. You’ll move right or up for positive coordinates and left or down for negative coordinates.

  4. Graphing Regions in the Coordinate Plane

  5. Graphing Regions in the Coordinate Plane

  6. The Distance Formula

  7. The Midpoint Formula

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