250 Chapter 3 Graphing Linear Equations in Two Variables Concept 4: Different Forms of Linear Equations: A Summary For Exercises 37–42, match the form or formula on the left with its name on the right. 37. x k i. Standard form 38. y mx b ii. Point-slope formula y2 y1 x2 x1 39. m iii. Horizontal line y y1 m1x x12 40. iv. Vertical line 41. y k v. Slope-intercept form 42. Ax By C vi. Slope formula For Exercises 43–48, find an equation for the line given the following information. (See Example 5.) 43. The line passes through the point (3, 1) 44. The line passes through the point and is parallel to the line and is parallel to the line See the figure. See the figure. y 4. y 2. 11, 12 5 y 1 54 321 1 2 3 4 5 1 2 3 4 5 5 y 1 1 2 3 4 5 x 4 3 2 (3, 1) y 4 1 2 3 4 5 x 4 3 2 (1, 1) y 2 54 321 45. The line passes through the point (2, 6) and is perpendicular to the line y 1. (Hint: Sketch the line first.) 46. The line passes through the point (0, 3) and is perpendicular to the line y 5. (Hint: Sketch the line first.) 47. The line passes through the point and is perpendicular to the line x 0. 12, 22 48. The line passes through the point and is perpendicular to the line x 0. 15, 22 Mixed Exercises For Exercises 49–60, write an equation of the line given the following information. 49. The slope is , and the line passes through the 14 point 18, 62. 25 50. The slope is , and the line passes through the point 15, 42. 51. The line passes through the point and is parallel to the line 3x y 6. 14, 42 52. The line passes through the point and is parallel to the line 5x y 5. 11, 72 53. The slope is 4.5, and the line passes through the point 15.2, 2.22. 54. The slope is 3.6 , and the line passes through the point 110.0, 8.22. 55. The slope is undefined, and the line passes through the point 16, 32. 56. The slope is undefined, and the line passes through the point 12, 12. 57. The slope is 0, and the line passes through the point 13, 22. 58. The slope is 0, and the line passes through the point (0, 5). 59. The line passes through the points and 14, 32. 14, 02 60. The line passes through the points and 11, 42. 11, 32
miller_beginning_intermediate_algebra_4e_ch1_3
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