1. Equations, Tables, and Graphs OH MY!

2. QUESTION:

10. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

11. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

12. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

13. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

14. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

15. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

16. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

17. VARIABLES?

20. QUESTION:

25. Starting Point: $5. Slope: $10

27. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

28. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. y= ____x + _____

29. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. y= ____x + _____ RATE OF CHANGE

30. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. y= ____x + _____ RATE OF CHANGE STARTING POINT

31. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. y= ____x + _____ 10 5

32. Starting Point: $5. Slope: $10

33. y = 10x + 5

34. Starting Point: $5. Slope: $10 y = 10x + 5

35. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

36. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term.

37. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. X (Shirts)Y (Money) 0 1 2 3 4 5 6 7 8 9 10 11

38. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. X (Shirts)Y (Money) 0$5 1 2 3 4 5 6 7 8 9 10 11

39. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. X (Shirts)Y (Money) 0$5 1$15 2 3 4 5 6 7 8 9 10 11

40. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. X (Shirts)Y (Money) 0$5 1$15 2$25 3 4 5 6 7 8 9 10 11 10

41. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. X (Shirts)Y (Money) 0$5 1$15 2$25 3 4 5 6 7 8 9 10 11 10

42. EQUATION: y = mx + b m is the slope b is the y-intercept Slope is also known as the rate of change The slope/rate of change is the number that is being multiplied to x. The y-intercept is the starting point What you add to x is the starting point. GRAPH: TABLE:In a problem: The slope is the rate of change that the independent variable changes by. The starting point is the constant term. X (Shirts)Y (Money) 0$5 1$15 2$25 3$35 4$45 5$55 6$65 7$75 8$85 9$95 10$105 10

44. Starting Point: $5. Slope: $10 y = 10x + 5

54. Starting Point: $5. Slope: $10 y = 10x + 5

56. What is going on with the x-values?

57. They are increasing!

58. What is going on with the y-values? They are increasing!

59. What is going on with the x AND y- values? They are both increasing. As the x-values increase by 1, the y-values start at 5 and increase by 10 each time.

60. Starting Point: $5. Slope: $10 y = 10x + 5 The x and y-values are both increasing at a constant rate. The y-values start at 5 and then increase by 10 as each x-value increases by 1.

61. Starting Point: $5. Slope: $10 y = 10x + 5 The x and y-values are both increasing at a constant rate. The y-values start at 5 and then increase by 10 as each x-value increases by 1.

62. EQUATION: y = mx + b OR y= ___x + ___ GRAPH: TABLE:Our Information: Our Equation is y = 10x + 5 It increases at a constant rate of 10.

63. Starting Point: $5. Slope: $10 y = 10x + 5 The x and y-values are both increasing at a constant rate. The y-values start at 5 and then increase by 10 as each x-value increases by 1. Yes! The equation is a linear equation since it is y=__x+___. The graph increases in a diagonal line. AND the table increases by 10 each time constantly!