150 Chapter 2 Linear Equations in Two Variables and Functions These two lines are parallel. m1 53 m2 53 5 ft These lines are perpendicular. 7 cm Slopes of Perpendicular Lines If and represent the slopes of two perpendicular lines, then or, equivalently, m1 0 m2 0 See Figure 2-20. 1 m2 m1 m1 m2 1 Determining the Slope of Parallel and Perpendicular Lines Suppose a given line has a slope of 5. a. Find the slope of a line parallel to the given line. b. Find the slope of a line perpendicular to the given line. Solution: a. The slope of a line parallel to the given line is (same slope). b. The slope of a line perpendicular to the given line is (the opposite of the reciprocal of 5). Skill Practice The slope of line is 6. Find the slope of a line parallel to L1. 7. Find the slope of a line perpendicular to L1. 4 3 L1 . m 5 m 15 Example 6 Answers 6. 7. 3 4 4 3 Figure 2-19 Figure 2-20 3 ft 5 ft 3 ft m1 72 m2 27 2 cm 2 cm 7 cm Slopes of Parallel Lines If and represent the slopes of two parallel (nonvertical) lines, then See Figure 2-19. m1 m2 m1 m2
miller_intermediate_algebra_4e_ch1_3
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