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NAME Graphing Equations in Slope-Intercept Form Write an equation of a line in slope-intercept form with the given slope and y-intercept. 1. slope: -j, y-intercept: 3 2. slope: |-, y-intercept: - 4 3. slope: 1.5, y-intercept: - 1 4. slope: -2.5, y-intercept: 3.5 Write an equation in slope-intercept form for each graph shown 1 6. n y y*. M * i i i (0,2), (-5,0) 7. y y W.3) 0 X (-3, 0) u :,0)/ 0 0 X s X (0, -2) ' ' • Graph each equation. 8.y = - | * + 2 ,y y y_ ~---o |—l—r 10. 6x + 3y = 6 9. 3y = 2x - 6 «- 1 —i— IO «- ® 0 x X s o G3 1 3 •.. 11. WRITING Carla has already written 10 pages of a novel. She plans to write 15 additional pages per month until she is finished. a. Write an equation to find the total number of pages P written after any number of months m. b. Graph the equation on the grid at the right. c. Find the total number of pages written after 5 months. Chapter 4 8 f i Carta's Nov® I p 100 c S3 80 S S 60 OJ 5? 40 20 i 1 2 3 4 5 6 m Months Glencoe Algebra 1 NAME Writing Equations in Slope-intercept Form Write an equation of the line t h a t passes t h r o u g h t h e given point and ha s t h e given slope. 1. y i (1,2) / 0 1 _[m = 3'i H X 1 4. (-5, 4); slope - 3 X 0 s •aK \ X 5. (4, 3); slope — X \m- " 1 1 r \ (-1,- -2,1); slope —^ 7 y \ \ 0 I I | \ , \ J IN 1 1 \ |m = -2 / 7* ' 7. (3, 7); slope 3. ,y \ \ (-2, 2K Ii f Si 1 S 6. (1, -5); slope - | 9. (5, 0); slope 0 Write an equation of the line t h a t passes t h r o u g h each pair of points. 10.1 1 , yin 1—m X y n 11. nIN w (0,5) 0 S (4,-2) (2,-4) ^f 1| N \~H y :(-3.l') 0 S RD s s^x 0 12. ® (-1,-3) I • X k 13. (0, -4), (5, -4) 14. (-4, -2) , (4, 0) 15. (-2, -3), (4, 5) 16. (0, 1), (5, 3) 17. ( - 3 , 0), (1, - 6 ) 18. (1, 0), (5, - 1 ) 19. DANCE LESSONS The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write a linear equation to find the total cost C for I lessons. Then use the equation to find the cost of 4 lessons. 20. WEATHER It is 76°F at the 6000-foot level of a mountain, and 49°F at the 12,000-foot level of the mountain. Write a linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet. Chapter 4 14 Glencoe Algebra 1 £_L NAME vgssssm feZ2=33S' Point-Slope Form ^ Write an equation in point-slope form for t h e line that passes t h r o u g h t h e given point with t h e slope provided. 1. (2, 2), m 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 s t a n d a r d form. ll = 3(x-2) 8 . y - 10 =-Cx - 2) 9.y + 7 = 2(x + 5) l O . y - 5 = | { x + 4) 11. y + 2 = — % + 1) 12. y - 6 = -§(*- 3) 13. y + 4 = 1.5(x + 2) 14. y - 3 = -2.4(x - 5) l.y- J 4 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) 1 8 . y - 3 = -5(x + 12) 1 9 . y - 5 = | ( x + 4) 20.y-I=-3(x+| 21.y-|=-2(x-I 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 set 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 any number of miles x for a one-day rental. b. Write the equation in slope-intercept form. c. What is the daily fee? Chapter 4 20 Glencoe Algebra 1 NAME H Parallel and Perpendicular Lines Write an equation in slope-intercept form for t h e line t h a t passes through t h e given point and is parallel to t h e graph of each equation. 1.(3, 2),y = x + 5 2. (-2, 5),y = -4x + 2 3.(4,-6),y = - f x + l 4.(5, 4),y 5.(12, 3), y = | x + 5 >. (3, 1), 2x + y = 5 =jx-2 7. ( - 3 , 4), 3y = 2x - 3 10. ( - 1 , -4), 9x + 3y = 8 (-8, 2), 5x - 4y = 1 J.(-l,-2),3x-y = 5 11. (-5 , 6), 4x + 3y = 1 12. (3, 1), 2x + 5y = 7 Write an equation in slope-intercept form for the line t h a t passes through t h e given point and is perpendicula r to the graph of each equation. 14. (-6, 5), x - y = 5 15. (-4, -3), 4x + y = 7 17. (2, 4), x - 6y = 2 18. ( - 1 , -7), 3x + 12y = - 6 19. (-4, 1), 4x + 7y = 6 20. (10, 5), 5x + 4y = 8 21. (4, -5), 2x - 5y = -1 0 22. (1, 1), 3x + 2y = - 7 23. (-6, -5), 4x + 3y = - 6 24. ( - 3 , 5), 5x - 6y = 9 13. (-2, -2), y = - jx + 9 (0, 1), x + 5y = 15 - A\y 25. GEOMETRY Quadrilateral ABCD has diagonals AC and BD. Determine whether AC is perpendicular to BD. Explain. X o D' 's C] • 26. GEOMETRY Triangle ABC has vertices A(0, 4), B(l, 2), and C(4, 6). Determine whether triangle ABC is a right triangle. Explain. Chapter 4 27 Glencoe Algebra 1