226 Chapter 2 Linear Equations in Two Variables and Functions Section 2.2 12. Find the slope of the line. a. b. 19. Two points for each of two lines are given. Determine if the lines are parallel, perpendicular, or neither. L1: 14, 62 13, 22 and and (7, 0) L2: 13, 12 For Exercises 20–22, the slopes of two lines are given. Based on the slopes, are the lines parallel, perpendicular, or neither? 20. 21. 22. m1 7, m2 7 m1 5 4 23. The graph indicates that the enrollment for a small college has been increasing linearly since 1990. a. Use the two data points to find the slope of the line. b. Interpret the meaning of the slope in the context of this problem. 24. Approximate the slope of the stairway pictured here. Section 2.3 25. Write a formula. a. Horizontal line b. Point-slope formula c. Standard form d. Vertical line e. Slope-intercept form 36 in. 48 in. 3000 2500 2000 1500 1000 500 0 1985 1990 1995 2000 2005 2010 Number of Students (1990, 2020) (2010, 3080) 3500 College Enrollment by Year , m2 4 5 m1 1 3 , m2 3 5 4 1 1 1 543 1 2 3 4 5 2 3 4 5 2 y x 3 2 5 4 1 543 1 2 3 4 5 1 1 2 3 4 5 2 y x 3 2 c. 5 4 y 3 2 1 543 1 2 3 4 5 1 1 2 3 4 5 2 13. Draw a line with slope 2 (answers may vary). x 5 4 y 3 2 1 5 43 21 1 2 3 4 5 1 2 3 4 5 x 14. Draw a line with slope (answers may vary). 5 4 y 543 21 1 2 3 4 5 1 2 3 4 5 For Exercises 15–18, find the slope of the line that passes through each pair of points. 15. 12, 62, 1 1, 02 16. 17, 22, 13, 52 17. 18. a4, 1 2 b, 118, 22, 13, 22 4, 12 x 3 2 1 34
miller_intermediate_algebra_4e_ch1_3
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