214 Chapter 3 Graphing Linear Equations in Two Variables Plotting Points in a Rectangular Coordinate System Example 2 Plot the points. a. b. c. d. 14, 52 14, 52 11, 32 13, 12 a 1 7 b 12, 02 10, 02 1p, 1.12 2 3e. , f. g. h. Solution: See Figure 3-3. a. The ordered pair indicates that and y 5 14, 52 x 4 . Beginning at the origin, move 4 units in the positive x direction (4 units to the right), and from there move 5 units in the positive y direction (5 units up).Then plot the point. The point is in Quadrant I. 14, 52 b. The ordered pair indicates that x 4 y 5 and . Move 4 units in the negative x direction (4 units to the left), and from there move 5 units in the negative y direction (5 units down).Then plot the point. The point is in Quadrant III. (1, 3) (2, 0) 3 1 54 2 11, 32 x 1 y 3 5 4 3 2 y 1 1 2 3 4 5 (0, 0) (, 1.1) 1 2 3 4 5 c. The ordered pair indicates that and . Move 1 unit to the left and 3 units up.The point is in Quadrant II. 13, 12 x 3 y 1 d. The ordered pair indicates that and . Move 3 units to the right and 1 unit down.The point is in Quadrant IV. 11, 32 , 73 2 213 73 13, 12 e. The improper fraction can be written as the mixed number . 1 2 12 1 Therefore, to plot the point move to the right unit, and down units.The point is in Quadrant IV. 213 f. The point 12, 02 indicates y 0.Therefore, the point is on the x-axis. x (4, 5) (4, 5) (3, 1) ( , ) 12 73 Figure 3-3 Skill Practice 5. Plot the points. A(3, 4) B (2, 2) a5 2 C (4, 0) D E(5, 2) Answer 5. 5 4 3 2 1 , 1 2b 5 43 21 1 2 3 4 5 1 2 3 4 5 A D B E y x C TIP: Notice that changing the order of the x- and y-coordinates changes the location of the point. For example, the point is in Quadrant II, whereas is in Quadrant IV (Figure 3-3). This is why points are represented by ordered pairs. The order of the coordinates is important. 10, 02 g. The point is at the origin. h. The irrational number, can be approximated as 3.14.Thus, the point 1p, 1.12 p, is located approximately 3.14 units to the right and 1.1 units up.The point is in Quadrant I. Classroom Example: p. 218, Exercise 10 Avoiding Mistakes Points that lie on either of the axes do not lie in any quadrant.
miller_introductory_algebra_3e_ch1_3
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