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# Parallel & Perpendicular Lines

## on Feb 22, 2012

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## Parallel & Perpendicular LinesPresentation Transcript

• Bell Work
• Tell if data is linear. If so, write the equation.
• 1) 2) 3)
x y -4 9 2 -3 5 -9 9 -17 x y -10 -5 -2 17 5 42 11 49 x y 3 1 6 4 9 13 15 49
• Algebra 1 Parallel & Perpendicular Lines School Day: 17 Objective: 2.02
• Notes
• Parallel lines are two lines that never intersect. They have the same slope.
• Perpendicular lines are two lines that intersect to form right angles. They have negative reciprocal slopes.
• (example: m = 2/3 and m = -3/2)
• Examples
• What is the negative reciprocal?
• 1) 2 2) -1/3 3) 4/5 4) -3/2
• Examples
• y = -2/3x + 7 b) y = -3/2x + 4
• y = 2/3x – 4 d) y = -2/3x – 2
• 5) Which lines are parallel?
• 6) Which lines are perpendicular?
• Examples
• Write an equation in slope-intercept form that is parallel to the given line through the given point.
• 7) y = ½ x + 1 (4,2) 8) 2x + y = 5 (4,-6)
• Examples
• Write an equation in slope-intercept form that is perpendicular to the given line through the given point.
• 9) y = 1/6x – 1 (2,4) 10) 5x + 4y = 8 (10,5)
• 11) In Elmsville, Main St. has the equation
• 2y = 7x + 6. If First St. is parallel and three streets up, what would be its equation?
• 12) In Coal City, Oak St. has the equation
• 3x + y = 4. If Elm St. is perpendicular and two streets down, what would be its equation?