262 CHAPTER 2 Graphs and Functions Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. See Examples 1–4. 11. through 11, 32, m= -2 12. through 12, 42, m= -1 13. through 1-5, 42, m= -3 2 14. through 1-4, 32, m= 3 4 15. through 1-8, 42, undefined slope 16. through 15, 12, undefined slope 17. through 15, -82, m= 0 18. through 1-3, 122, m= 0 19. through 1-1, 32 and 13, 42 20. through 12, 32 and 1-1, 22 21. x-intercept 13, 02, y-intercept 10, -22 22. x-intercept 1-4, 02, y-intercept 10, 32 23. vertical, through 1-6, 42 24. vertical, through 12, 72 25. horizontal, through 1-7, 42 26. horizontal, through 1-8, -22 27. m= 5, b = 15 28. m= -2, b = 12 29. through 1-2, 52 having slope -4 30. through 14, -72 having slope -2 31. slope 0, y-intercept A0, 3 2B 32. slope 0, y-intercept A0, - 5 4B 33. Concept Check Fill in each blank with the appropriate response: The line x + 2 = 0 has x-intercept . It have a (does/does not) y-intercept. The slope of this line is . (0/undefined) The line 4y = 2 has y-intercept . It have an (does/does not) x-intercept. The slope of this line is . (0/undefined) 34. Concept Check Match each equation with the line that would most closely resemble its graph. (Hint: Consider the signs of m and b in the slope-intercept form.) (a) y = 3x + 2 (b) y = -3x + 2 (c) y = 3x - 2 (d) y = -3x - 2 A. 0 x y B. 0 x y C. 0 x y D. 0 x y Find the slope and y-intercept of each line, and graph it. See Example 3. 35. y = 3x - 1 36. y = -2x + 7 37. 4x - y = 7 38. 2x + 3y = 16 39. 4y = -3x 40. 2y = x 41. x + 2y = -4 42. x + 3y = -9 43. y - 3 2 x - 1 = 0 44. Concept Check The table represents a linear function ƒ. (a) Find the slope of the graph of y = ƒ1x2. (b) Find the y-intercept of the line. (c) Write an equation for this line in slope-intercept form. x y -2 -11 -1 -8 0 -5 1 -2 2 1 3 4
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