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5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
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5.6 Parallel & Perpendicular Lines

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  • 1. 5.6 Parallel & Perpendicular Lines
  • 2. 1. Parallel lines have the same slope
    • Slope of Line A =
    • Slope of Line B =
    • Slope of Line A =
    Line A Line B 1 1 Slope of Line B
  • 3. 2. Perpendicular lines slope at 90°
    • Slope of Line A =
    • Slope of Line B =
    • Slope of Line A =
    Line A Line B 1 -1 Opposite Reciprocal of Line B
  • 4. Write an equation in slope-intercept form for the line parallel to each line below with a y-intercept of 3 .
    • Y = 4x + 2
    • Step 1: Identify Slope
    • M = _________
    • Step 2: Write equation
    • Y = mx + b
    • Y = ___x + _____
  • 5. Write an equation in slope-intercept form for the line parallel to each line below with a y-intercept of 3.
    • 4. Y = -3x - 2
    • Step 1: Identify Slope
    • M = _________
    • Step 2: Write equation
    • Y = mx + b
    • Y = ___x + _____
  • 6. 6. Find a perpendicular slope of the following slopes.
    • 6. Slope = 1/2
    • Perpendicular Slope = _______
  • 7. 7. Find a perpendicular slope of the following slopes.
    • 7. Slope = 5/6
    • Perpendicular Slope = _______
  • 8. 8. Find a perpendicular slope of the following slopes.
    • 8. Slope = -4
    • Perpendicular Slope = _______
  • 9. Find the slope of a line that is perpendicular to the following lines.
    • 9. Y = 3x + 2
    • Slope = _______
    • Perpendicular Slope = __________
  • 10. Find the slope of a line that is perpendicular to the following lines.
    • 10. 3x + 12y = 12
    • Slope = _______
    • Perpendicular Slope = __________
  • 11. Write an equation in point-slope form for the line that contains the point (-3, 4), and is perpendicular to the graph of the equation.
    • Y = 2x + 3
    • Step 1: Identify Slope
    • Slope = _______
    • Perpendicular Slope = ______
    • Step 2: Write Equation
    • y – y 1 = m (x – x 1 )
    • y - ___ = ___(x -____)
    • __________________________
  • 12. Write an equation in point-slope form for the line that contains the point (-3, 4), and is perpendicular to the graph of the equation.
    • 3x + y = 7
    • Step 1: Identify Slope
    • Slope = _______
    • Perpendicular Slope = ______
    • Step 2: Write Equation
    • y – y 1 = m (x – x 1 )
    • _________________________
    • __________________________
  • 13. Write an equation in slope-intercept form that is perpendicular to the given line.
    • 15. (-3, -5), y = 3x - 1
    • Step 1: Identify Slope
    • Slope (m) = _______
    • Perpendicular Slope = __
    Step 2: Write Equation Y = mx + b _____ = _____(____) + b b = _______________
  • 14. 15. Write an equation in slope-intercept form that is perpendicular to the given line.
    • M = -1/3
    • b = -6
    • Y = mx + b
    • Y = ____x + ______
  • 15. Write an equation in slope-intercept form that is perpendicualr to the given line.
    • 16. (5, 4) y - 10 = -5 x
    • 2
    • Step 1: Identify Slope
    • Slope (m) = _______
    • Perpendicular Slope = __
    Step 2: Write Equation Y = mx + b _____ = _____(____) + b b = _______________
  • 16. 16. Write an equation in slope-intercept form that is perpendicular to the given line.
    • M = 2/5
    • b = 2
    • Y = mx + b
    • Y = ____x + ______

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