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Gr10 writing linear equations
 

Gr10 writing linear equations

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    Gr10 writing linear equations Gr10 writing linear equations Presentation Transcript

    • Writing Linear Equations Using Slope Intercept Form
    • Slope-Intercept Form
      • y = mx + b (c) [or f ( x ) = mx + b ]
      • m is the slope/gradient
      • b/c is the y -intercept
    • Find the Equation of the Line
      • What is the
      • y -intercept?
      • b = -2
      • What is m ?
      • m =
      • y = x -2
      x y
    • Find the Equation of the Line
      • b = ?
      • b = 1
      • m = ?
      • m = -
      • y = - x + 1
      x y
    • Find the Equation of the Line
      • b = ?
      • b = 4
      • m = ?
      • m = 0
      • y = 0 x + 4
      • y =4
      x y
    • Find the Slope and y-intercept of each Equation:
      • 1) y = -4 x + 3
      • m = -4
      • b = 3
      • 2) y = 5 - x
      • m = -
      • b = 5
      • 3) 8 x + y =
      • m = -8
      • b =
      • 4) 4 x - 2 y = 10
      • m = 2
      • b = -5
    • Find the Equation Given the Slope and y -intercept
      • 1) m = -3, b = 1
      • y = -3 x + 1
      • 2) m = - , b = -4
      • y = - x - 4
    • Find the Equation Given the Slope and a Point
      • Given m = -1, (2, 1)
      • First, calculate b by substituting the slope and the coordinates into y = mx + b.
      • y = -1 x + b
      • 1 = -1(2) + b
      • 1 = -2 + b
      • 3 = b
      • y = -1 x + 3
    • Write the equation.
      • gradient = 2, passes through (-4, 6)
      • slope = -3/2, passes through (5, 3)
    • Find the Equation Given Two Points
      • Given (-1, 3) and (2, 1)
      • First, calculate the slope:
      • Second, find b . Use either point...
      • m = , (2, 1)
      • 1 = (2) + b
      • 1 = + b
      • = b
    • Write the equation
      • passes through (6, 1) and (8, -4)
      • Passes through (-3, 5) and (2, 2)