1 / 9

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines. Algebra 2/Geometry High School. Two non-vertical lines are parallel if and only if their slopes are equal. If l 1 ║ l 2 , then m 1 = m 2 . If m 1 = m 2 , then l 1 ║ l 2. Parallel Lines. m 1. m 2. l 1. l 2.

lalvarado
Download Presentation

Parallel and Perpendicular Lines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Parallel and Perpendicular Lines Algebra 2/Geometry High School

  2. Two non-vertical lines are parallel if and only if their slopes are equal. If l1║l2, then m1= m2. If m1= m2, then l1║l2. Parallel Lines m1 m2 l1 Parallel and Perpendicular Lines l2

  3. Write the equation of the line that passes through (3,6) and is parallel to y = 2 x+2 3 Parallel and Perpendicular Lines m = 2/3 and the point is (3,6) y = mx+b 6 = 2/3(3)+b 6 = 2+b 4 = b y = 2/3x+4

  4. Write the equation of the line that passes through (4,-5) and is parallel to y = -2x-4. Parallel and Perpendicular Lines m =-2 and the point is (4,-5) y = mx+b -5 = -2(4)+b -5 = -8+b 3 = b y = -2x+3

  5. Write the equation of the line that passes through (-6,4) and is parallel to y= 1 x-1 3 Parallel and Perpendicular Lines m=1/3 and the point s (-6,4) y =1/3x+6

  6. Two non-vertical lines are perpendicular if and only if the product of their slopes is -1. If l1┴l2, then m1 ● m2= -1. If m1● m2 = -1, then l1┴l2. Perpendicular Lines Slopes are negative reciprocals m1 l1 m2 Parallel and Perpendicular Lines l2

  7. Write the equation of the line that passes through (6,-5) and is perpendicular to y = 2x+3. Parallel and Perpendicular Lines m = -1/2 and the point is (6,-5) y = mx+b -5 = -1/2(6)+b -5 = -3+b -2 = b y = -1 x-2 2

  8. Write the equation of the line that passes through (6,-7) and is perpendicular to y = 2/3x+1. Parallel and Perpendicular Lines m = -3/2 and the point is (6,-7) y = mx+b -7 = -3/2(6)+b -7 = -9+b 2 = b y = -3 x+2 2

  9. Write the equation of the line that passes through (-4,-3) and is perpendicular to y = x+6. Parallel and Perpendicular Lines m = -1 and the point is (-4,-3) y = -x-7

More Related