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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 + ______