168 Chapter 2 Linear Equations in Two Variables and Functions 28. 29. 30. x 2y 8 2x 5y 0 3x y 0 5 4 2 1 y 1 5 4 2 1 y 1 4 2 1 y 1 31. Given the standard form of a linear equation solve for y and write the equation in slope-intercept form.What is the slope of the line? What is the y-intercept? 32. Use the result of Exercise 31 to determine the slope and y-intercept of the line For Exercises 33–38, the equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. (See Example 3.) 33. 3y 5x 1 34. x 6y 3 35. 3x 4y 12 1 2 3x y 0 y 1 36. 37. 38. 1 2 x 2 3 4.8x 1.2y 3.6 3y 5x 6 y 3x 2 y 1 4x 5x 3y 9 6x 2y 6 For Exercises 39–44, use the slope-intercept form of a line to find an equation of the line having the given slope and passing through the given point. (See Example 4.) 39. m 3, 10, 52 40. m 4, 10, 32 41. m 2, 14, 32 4 5 m 3, 1 , 110, 02 1, 52 42. 43. 44. m 2 7 m , 13, 12 6x 10y 12 3x 7y 9. Ax By C, B 0, 543 1 2 3 4 5 2 3 4 5 x 3 2 1 3 1 2 3 4 5 6 7 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 6 x 3 2 1 Concept 2: The Point-Slope Formula For Exercises 45–74, write an equation of the line satisfying the given conditions. Write the answer in slopeintercept form or standard form. 45. The line passes through the point ( ) and has a slope of 3. 0, 2 46. The line passes through the point (0, 5) and has a slope of 12 . 47. The line passes through the point (2, 7) and has a slope of 2. (See Example 5.) 48. The line passes through the point (3, 10) and has a slope of 2. 49. The line passes through the point ( ) and has a slope of 3. 2, 5 50. The line passes through the point ( ) and has a slope of 4. 1, 6 51. The line passes through the point ( ) and has a slope of 45 . 6, 3 52. The line passes through the point ( ) and has a slope of 72 . 7, 2 53. The line passes through (0, 4) and (3, 0). (See Example 6.) 54. The line passes through (1, 1) and (3, 7).
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