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Classwork

Chapter 8.1. Classwork. 1. Solve by graphing. y = mx + b. 4x + y = - 14. 6 x + 2y = - 18. -4x -4x. -6x -6x. 2y = -6x – 18. y = -4x – 14. 2. 2. 2. y = -3x – 9. m = - 3 , b = - 9. m = - 4, b = - 14. 1. Solve by graphing. intersect.

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Classwork

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  1. Chapter 8.1 Classwork

  2. 1. Solve by graphing. y = mx + b 4x + y = -14 6x + 2y = -18 -4x -4x -6x -6x 2y = -6x – 18 y = -4x – 14 2 2 2 y = -3x – 9 m = -3, b = -9 m = -4, b = -14

  3. 1. Solve by graphing. intersect 4x + y = -14 m = -4, b = -14 • 6x + 2y = -18 m = -3, b = -9 • • • • 6x + 2y = -18 • 4x + y = -14 (-5, 6) •

  4. 2. Solve by graphing. y = mx + b x – y = 1 x = 5 -x -x vertical line -y = -x + 1 -1 -1 -1 y = x – 1 m = , b = -1

  5. 2. Solve by graphing. intersect x – y = 1 m = , b = -1 x = 5 • • • vertical line x – y = 1 x = 5 (5, 0)

  6. 3. Solve by graphing. y = mx + b 3x + 2y = 13 2x + 4y = 22 -3x -3x -2x -2x 2y = -3x + 13 4y = -2x + 22 2 2 4 4 2 4 y = -x + 6.5 y = -x + 5.5 m = -, b = 6.5 m = -, b = 5.5

  7. 3. Solve by graphing. intersect 3x + 2y = 13 m = -, b = 6.5 • 2x + 4y = 22 3x + 2y = 13 • • • • • 2x + 4y = 22 • m = -, b = 5.5 (1, 5)

  8. 4. Solve by graphing. y = mx + b y – 5x = 3 4y = 20x + 12 +5x +5x 4 4 4 y = 5x + 3 y = 5x + 3 m = 5, b = 3 m = 5, b = 3

  9. 4. Solve by graphing. coincide y – 5x = 3 • m = 5, b = 3 y – 5x = 3 4y = 20x + 12 • 4y = 20x + 12 m = 5, b = 3 • dependent

  10. 5. Solve by graphing. y = mx + b 3x + y = 12 9x +3y = 36 -3x -3x -9x -9x 3y = -9x + 36 y = -3x + 12 3 3 3 m = -3, b = 12 y = -3x + 12 m = -3, b = 12

  11. 5. Solve by graphing. coincide 3x + y = 12 m = -3, b = 12 3x + y = 12 • 9x + 3y = 36 • • 9x + 3y = 36 m = -3, b = 12 dependent

  12. 6. Solve by graphing. y = mx + b x + y = 6 x = 1 -x -x vertical line y = -x + 6 m = -1, b = 6

  13. 6. Solve by graphing. intersect x = 1 vertical line • • • x + y = 6 x + y = 6 • m = -1, b = 6 x = 1 (1, 6)

  14. 7. Solve by graphing. y = mx + b 2x + y = 1 2x + y = 5 -2x -2x -2x -2x y = -2x + 1 y = -2x + 5 m = -2, b = 5 m = -2, b = 1

  15. 7. Solve by graphing. parallel 2x + y = 1 m = -2, b = 1 2x + y = 5 • • 2x + y = 1 2x + y = 5 • • • m = -2, b = 5 • inconsistent

  16. 8. Solve by graphing. y = mx + b 2x + y = 8 x = 3 -2x -2x vertical line y = -2x + 8 m = -2, b = 8

  17. 8. Solve by graphing. intersect x = 3 • vertical line • 2x + y = 8 • • 2x + y = 8 • m = -2, b = 8 (3, 2) x = 3

  18. 9. Solve by graphing. y = mx + b 4x + 8y = 16 3x + 6y = 6 -4x -4x -3x -3x 8y = -4x + 16 6y = -3x + 6 6 6 6 8 8 8 y = -x + 2 y = -x + 1 m = -, b = 1 m = -, b = 2

  19. 9. Solve by graphing. parallel 4x + 8y = 16 m = -, b = 2 4x + 8y = 16 • 3x + 6y = 6 • • • • • m = -, b = 1 3x + 6y = 6 inconsistent

  20. 10. Solve by graphing. y = 2 x = 6 vertical line horizontal line

  21. 8. Solve by graphing. intersect x = 6 vertical line y = 2 • • y = 2 • horizontal line x = 6 (6, 2)

  22. Chapter 8.1 Classwork

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