4-3 Practice Writing Equations in Point-Slope Form Write an equation in point-slope form for the line that passes through each point with the given slope. 1. (2, 2), = 2. (1, = 3. (–3, = 0 m m m –3 –6), –1 –4), 4. (1, 3), = 5. (–8, 5), = 6. (3, = m m m –3), Write each equation in standard form. 7. 11 = 3(x 2) 8. 10 = 2) 9. + 7 = 2(x + 5) y y y – – – –(x – 10. 5 = (x + 4) 11. + 2 = (x + 1) 12. 6 = (x 3) y y y – – – 13. + 4 = 1.5(x + 2) 14. 3 = 5) 15. 4 = 2.5(x + 3) y y y – –2.4(x – – Write each equation in slope-intercept form. 16. + 2 = 4(x + 2) 17. + 1 = + 1) 18. 3 = + 12) y y y –7(x – –5(x 19. 5 = (x + 4) 20. = 3(x + ) 21. = ) y y y – – – – –2(x – 22. CONSTRUCTION A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. a. Write the point-slope form of an equation to find the total fee for any number of hours y x. b. Write the equation in slope-intercept form. What is the fee for the use of a trash dumpster? c. 23. MOVING There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. It costs $64 to rent the truck on a day when it is driven 48 miles. a. Write the point-slope form of an equation to find the total charge for a one-day rental with miles driven. y x b. Write the equation in slope-intercept form. c. What is the daily fee?
4-3 Practice Writing Equations in Point-Slope Form Write an equation in point-slope form for the line that passes through each point with the given slope. 1. (2, 2), m = –3 2. (1, –6), m = –1 3. (–3, –4), m = 0 4. (1, 3), m = 5. (–8, 5), m = 6. (3, –3), m = Write each equation in standard form. 7. y – 11 = 3(x – 2) 8. y – 10 = –(x – 2) 9. y + 7 = 2(x + 5) 10. y – 5 = (x + 4) 11. y + 2 = (x + 1) 12. y – 6 = (x – 3) 13. y + 4 = 1.5(x + 2) 14. y – 3 = –2.4(x – 5) 15. y – 4 = 2.5(x + 3) Write each equation in slope-intercept form. 16. y + 2 = 4(x + 2) 17. y + 1 = –7(x + 1) 18. y – 3 = –5(x + 12) 19. y – 5 = (x + 4) 20. y – = – 3(x + ) 21. y – = –2(x – ) 22. CONSTRUCTION A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. a. Write the point-slope form of an equation to find the total fee y for any number of hours x. b. Write the equation in slope-intercept form. c. What is the fee for the use of a trash dumpster? 23. MOVING There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. It costs $64 to rent the truck on a day when it is driven 48 miles. a. Write the point-slope form of an equation to find the total charge y for a one-day rental with x miles driven. b. Write the equation in slope-intercept form. c. What is the daily fee?
4.3-Practice-Writing-Equations-in-Point-Slope-Form.docx