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4.1 The Coordinate Plane In mathematics, points are located in reference to two perpendicular lines called axes.

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Presentation on theme: "4.1 The Coordinate Plane In mathematics, points are located in reference to two perpendicular lines called axes."— Presentation transcript:

1 4.1 The Coordinate Plane In mathematics, points are located in reference to two perpendicular lines called axes.

2 The Coordinate Plane Points in the coordinate plane are named by ordered pairs of the form (x, y). The first number, or x-coordinate, corresponds to the numbers on the x-axis. The second number, or y-coordinate, corresponds to the numbers on the y-axis. The origin, labeled O, has coordinates (0, 0).

3 Name an Ordered Pair Write the ordered pair for point G. The ordered pair for point G is (-4, 3). This can also be written as G(-4, 3).

4 Quadrants The x-axis and y-axis separate the coordinate plane into four regions, called quadrants. Notice which quadrants contain positive and negative x-coordinates, and which quadrants contain positive and negative y-coordinates. The axes are not located in any of the quadrants.

5 Quadrants

6 Identify Quadrants Write ordered pairs for points A, B, C, and D. Name the quadrant in which each point is located.

7 Graph Points To graph an ordered pair means to draw a dot at the point on the coordinate plane that corresponds to the ordered pair. This is sometimes called plotting a point. When graphing an ordered pair, start at the origin. The x-coordinate indicates how many units to move right (positive) or left (negative). The y-coordinate indicates how many units move up (positive) or down (negative).


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