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Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis) 5 5 -5.

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Presentation on theme: "Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis) 5 5 -5."— Presentation transcript:

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2 Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis)

3 In an ordered pair, the first number is the x-coordinate. The second number is the y-coordinate. Graph. (-3, 2)

4 The x-axis and y-axis separate the coordinate plane into four regions, called quadrants. II (-, +) I (+, +) IV (+, -) III (-, -)

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6 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

7 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

8 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

9 Example 1: Give the coordinates of the point. (-4,3) (0,3) (1,4) (1,0) (5,1) (3,-4) (0,-3) (-4,-4) (-3,0) (0,0)

10 Example 2: Plot the point in a coordinate plane. Describe the location of the point. a) A(-4,9) b) B(5,0) c) C(0,-8) d) D(7, -2) A(-4,9) B(5,0) C(0,-8) D(7,-2)

11 xy = ½x + 1y -4y = ½(-4) y = ½(-2) + 1 0y = ½(0) + 1 2y = ½(2) + 1 4y = ½(4) + 1 Example 3: Graph the function y = ½x + 1 with the following values of x: -4, -2, 0, 2, and 4. Step 1: Make a table xy = ½x + 1y -4y = ½(-4) y = ½(-2) + 1 0y = ½(0) + 1 2y = ½(2) + 1 4y = ½(4) + 1 xy = ½x + 1y -4y = ½(-4) y = ½(-2) y = ½(0) y = ½(2) y = ½(4) + 13

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13 What is the ordered pair for A? 1.(3, 1) 2.(1, 3) 3.(-3, 1) 4.(3, -1) A

14 What is the ordered pair for C? 1.(0, -4) 2.(-4, 0) 3.(0, 4) 4.(4, 0) C


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