(a) Find the equation of the line that is parallel to this line and passes through the point.
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1 1. Consider the line. (a) Find the equation of the line that is parallel to this line and passes through the point. (b) Find the equation of the line that is perpendicular to this line and passes through the point. 2. Find the -intercept of the line whose equation is. Page 1 of 25
2 3. Graph the line with slope passing through the point. 4. Find an ordered pair that is a solution to the equation. Page 2 of 25
3 5. Graph the line. 6. A line passes through the point and has a slope of. Write an equation for this line. 7. Write an equation of the line below. Page 3 of 25
4 8. Give the location of Denver as an ordered pair. 9. Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying gallons of fuel, the airplane weighs pounds. When carrying gallons of fuel, it weighs pounds. How much does the airplane weigh if it is carrying gallons of fuel? 10. A line passes through the point and has a slope of. Write an equation for this line. Page 4 of 25
5 11. For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither. Line 1: Line 2: 12. Give the location of Rome as an ordered pair. Page 5 of 25
6 13. Graph the line with slope passing through the point. 14. Graph the line whose -intercept is and whose -intercept is. Page 6 of 25
7 15. Find the slope of the line graphed below. 16. Using the pencil, plot the point. 17. Find the -intercept and -intercept of the line. -intercept: -intercept: Page 7 of 25
8 18. Find an equation for the line below. 19. Give the location of Phoenix as an ordered pair. Page 8 of 25
9 20. Find an equation for the line below. 21. For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither. Line 1: Line 2: Page 9 of 25
10 22. The Sugar Sweet Company is going to transport its sugar to market. It will cost to rent trucks, and it will cost an additional for each ton of sugar transported. Let represent the total cost (in dollars), and let represent the amount of sugar (in tons) transported. Write an equation relating to, and then graph your equation using the axes below. 23. Find the slope of the line graphed below. Page 10 of 25
11 24. Consider the line. (a) Find the equation of the line that is perpendicular to this line and passes through the point. (b) Find the equation of the line that is parallel to this line and passes through the point. 25. Find the slope of the line passing through the points and. 26. Graph the line. Page 11 of 25
12 27. Write an equation of the line below. 28. Graph the line. 29. Find the -intercept and -intercept of the line. -intercept: -intercept: Page 12 of 25
13 30. Find the slope of the line passing through the points and. 31. Write equations for the horizontal and vertical lines passing through the point. horizontal line: vertical line: 32. Find the -intercept and -intercept of the line. -intercept: -intercept: 33. Graph the line. Page 13 of 25
14 34. Graph the line whose -intercept is and whose -intercept is. 35. Write equations for the horizontal and vertical lines passing through the point. horizontal line: vertical line: 36. Find an ordered pair that is a solution to the equation. Page 14 of 25
15 37. Owners of a recreation area are filling a small pond with water. They are adding water at a rate of liters per minute. There are liters in the pond to start. Let represent the amount of water in the pond (in liters), and let represent the number of minutes that water has been added. Write an equation relating to, and then graph your equation using the axes below. Page 15 of 25
16 38. Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of. See the figure below. With gallons of fuel in its tank, the airplane has a weight of pounds. What is the weight of the plane with gallons of fuel in its tank? 39. Find an ordered pair that is a solution to the equation. 40. Graph the line. Page 16 of 25
17 41. Graph the line. 42. Find the slope of the line. Write your answer in simplest form. Page 17 of 25
18 43. The graph below shows the numbers of visitors at a museum over six days. (a) What was the greatest number of visitors in a day? (b) When did the number of visitors have the greatest increase? 44. Find the slope of the line. Write your answer in simplest form. 45. Consider the line. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? Page 18 of 25
19 46. The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is, and the remaining credit after minutes of calls is. What is the remaining credit after minutes of calls? 47. The graph below shows the numbers of orders received by a company for five months. (a) What was the least number of orders in a month? (b) When did the greatest increase in orders occur? Page 19 of 25
20 48. Graph the line whose -intercept is and whose -intercept is. 49. Using the pencil, plot the point. Page 20 of 25
21 50. Graph the line. 51. Find the slope of the line graphed below. 52. Consider the line. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Page 21 of 25
22 53. Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of. See the figure below. With gallons of fuel in its tank, the airplane has a weight of pounds. What is the weight of the plane with gallons of fuel in its tank? 54. Graph the line with slope passing through the point. Page 22 of 25
23 55. For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither. Line 1: Line 2: 56. Using the pencil, plot the point. 57. Find the -intercept of the line whose equation is. Page 23 of 25
24 58. The graph below shows how much money was given to a charity over five months. (a) What was the least donation amount in a month? (b) When did donations have the greatest decrease? 59. Graph the line. Page 24 of 25
25 60. Graph the line. Page 25 of 25
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