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Linear Functions

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Constant Slope Direct Variation

��ex: y= 2x� � ��

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Linear Functions

  • y = mx + b

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  • m is slope
  • b is the y intercept
  • Both m and b are constants
  • function makes a line

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Slope

  • Rate of change
  • Change in y / change in x
  • Δy/Δx
  • Rise over run

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to get the slope of line…

  • Choose any two points on the line (x, y)

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Positive Slope

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Negative Slope

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Parallel Line

  • Equal Slopes

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Perpendicular Lines

  • Slopes opposite reciprocals

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Graph

  • If given slope y intercept form

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  • Start at y intercept (where x = 0)

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  • Or make a table of values x y