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Name _______________________ Homework 7-1 In Exercises 1–3, write an equation of the line with the given slope and y-intercept. 1. slope: 3 2. slope: 0 y-intercept: 3. slope: y-intercept: y-intercept: 7 In Exercises 4 and 5, write an equation of the line in slope-intercept form. 4. 5. In Exercises 6–8, write an equation of the line that passes through the given points. 6. 7. 8. 9. A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each T-shirt printed with your design costs an additional $8. a. Write a linear model that represents the total cost of purchasing your team’s T-shirts with your design as a function of the number of T-shirts. b. Your team has 35 members. If a T-shirt is purchased for every member, what would be the cost? 10. Line ℓ is a reflection in the x-axis of line k. Write an equation that represents line k. Name __________________________________ Homework 7-2 Write an equation of the line with the given slope and y-intercept. 1. slope: 3; y-intercept: 2. slope: 3. slope: y-intercept: 9 y-intercept: 0 4. slope: 5; y-intercept: Write an equation of the line that passes through the given points. 5. 6. 7. 8. 9. Write a linear function f with the given values. 10. 11. 12. 13. The water park charges $125 for a birthday party. Guests cost $12 each. Write a linear model that represents the total cost of a birthday party y as a function of the number of guests x. Name _________________________________ Homework 7-3 Write an equation in point-slope form of the line that passes through the given point and has the given slope. 1. 2. 3. 4. Write an equation in slope-intercept form of the line that passes through the given points. 5. 6. 7. 8. 9. You pay a registration fee and a monthly fee to join a local fitness center. The table shows the total cost of joining the fitness center for different numbers of months. Write an equation that represents the total cost (in dollars) of joining the fitness center as a function of the number of months. Months, x Total cost (dollars), f (x) 3 5 7 100 140 180 Name __________________________________ Homework 7-4 In Exercises 1–3, write an equation in point-slope form of the line that passes through the given point and has the given slope. 1. 2. 3. In Exercises 4 and 5, write an equation in slope-intercept form of the line shown. 4. 5. In Exercises 6–8, write an equation in slope-intercept form of the line that passes through the given points. 6. 7. 8. In Exercises 9 and 10, tell whether the data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represents y as a function of x. 9. x 0 1 2 3 4 y 3.5 3 2.5 2 1.5 11. The equation 10. x 0 2 4 6 8 y 1 2 4 8 16 represents the cost (in dollars) of making your own juice (in fluid ounces). a. What is the slope of the line? Interpret the slope in the context of this situation. b. Write the equation as a linear function. c. Use the linear function in part (b) to determine the base cost of making your own juice. Name __________________________________ Homework 7-5 Name ______________________________________ Homework 7-6 State whether the lines are parallel, perpendicular, or neither. 1. 2. 3. 4. 5. 6. 7. Decide if the lines are perpendicular: and 8. Which of the following lines is parallel to A) B) 9. A line parallel to ? C) D) is _______________. A) B) 10. A line parallel to A) . B) C) D) and passing through (0, 0) has the equation ______. C) D)