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  1. ALG 6.0 X Intercept & Y Intercept WEEK 25 Thursday, Feb 13,2014 (1,6) (3,-2)

  2. DO Now 10 Mins Find your test key under Week 25 (ALG10.0_testkey). Show your work on a half piece of paper.

  3. Standard Algebra1- 6.0: Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4).

  4. Objective Huskies will be able to identify the x and y intercept from standard form.

  5. STANDARD FORM Ax + By = C

  6. STANDARD FORM Ax + By = C INTEGERS

  7. EX #1: Graph 4x – 2y = 12

  8. EX #1: Graph 4x – 2y = 12 4x – 2y = 12

  9. EX #1: Graph4x – 2y = 12 4x – 2y = 12 -4x –4x

  10. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12

  11. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2

  12. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  13. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  14. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  15. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  16. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  17. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  18. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  19. EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  20. EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  21. EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 y = 2x - 6

  22. EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 y = 2x - 6 (0, -6)

  23. EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 What is the value of x when it crosses the y-axis? y = 2x - 6 (0, -6)

  24. EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 What is the value of x when it crosses the y-axis? y = 2x - 6 (0, -6) x = 0

  25. EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis?

  26. EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis? (3,0)

  27. EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis? What is the value of y when it crosses the x-axis? (3,0)

  28. EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis? What is the value of y when it crosses the x-axis? (3,0) y = 0

  29. EX #2: Find the x & y-intercepts of 4x – 2y = 12

  30. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0

  31. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12

  32. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12 -2y = 12

  33. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12 -2y = 12 y = -6

  34. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)

  35. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)

  36. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4x = 12 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)

  37. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4x = 12 x = 3 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)

  38. EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4x = 12 x = 3 4(0) – 2y = 12 -2y = 12 y = -6 (3,0) (0,-6)

  39. EX #2: Find the x & y-intercepts of 4x – 2y = 12 x-intercept (3,0) y-intercept (0,-6)

  40. EX #2: Find the x & y-intercepts of 4x – 2y = 12 x-intercept (3,0) y-intercept (0,-6)

  41. YT #1: Find the x & y-intercepts of 3x + 6y = 24 and then graph the line.

  42. YT #1: Find the x & y-intercepts of 3x + 6y = 24 and then graph the line. y-intercept x = 0 3(0) + 6y = 24 6y = 24 y = 4 (0, 4) (0,4) (8,0) x-intercept y = 0 3x + 6(0) = 24 3x = 24 x = 8 (8,0)

  43. ALG1 8 “PARALLEL LINES” y = 2x + 3 y = 2x - 5

  44. PARALLEL LINES Coplanar lines that never intersect. Parallel (//) lines have the slope. y = 2x + 5 y = 2x + 1 same

  45. EX #2: What is the slope of the line // to y = -3x + 5?

  46. EX #2: What is the slope of the line // to y = -3x + 5? m// = -3

  47. EX #2: What is the slope of the line // to y = -3x + 5? m// = -3 YT #2: What is the slope of the line // to x – 2y = 4?

  48. EX #2: What is the slope of the line // to y = -3x + 5? m// = -3 YT #2: What is the slope of the line // to x – 2y = 4? y = x – 2

  49. EX #2: What is the slope of the line // to y = -3x + 5? m// = -3 YT #2: What is the slope of the line // to x – 2y = 4? y = x – 2 m// =

  50. EX #5: Are the lines y = x + 6 and 2x – 6y = 30 //?