Linear Graphs

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Contents

[edit] Variables

  • Independent Variable = X-Axis
  • Dependent Variable = Y-Axis

[edit] Linear Graphs

  • Gradient (Slope) = (y2 – y1) / (x2 – x1)
  • General Graph: y = m*x + c
    • c = y-intercept; m = gradient

[edit] Linear Equation

  • ax + by +c = 0
  • X-intercept: y = 0; x = -1 * (c / a)
  • Y-intercept: x = 0; y = -1 * (c / b)

[edit] Algebraic Method

  • Elimination Method
    • If the coefficient are the same: subtract
    • If the coefficient differs in sign: add
      • Note: Coefficient are [equal] or [differ in signs (+ or -)] to each other.
  • Substitution Method
    • Rewrite equation so that one of the variables are equal in terms with the others.
    • Substitute this equation into the other equation and solve for the variable under consideration.
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