Send the link below via email or IMCopy
Present to your audienceStart remote presentation
- Invited audience members will follow you as you navigate and present
- People invited to a presentation do not need a Prezi account
- This link expires 10 minutes after you close the presentation
- A maximum of 30 users can follow your presentation
- Learn more about this feature in the manual
Do you really want to delete this prezi?
Neither you, nor the coeditors you shared it with will be able to recover it again.
Make your likes visible on Facebook?
Connect your Facebook account to Prezi and let your likes appear on your timeline.
You can change this under Settings & Account at any time.
Equations of Parallel and Perpendicular Lines
Meghan Shinerton 1 February 2014
Transcript of Equations of Parallel and Perpendicular Lines
-lines that lay in the same plane but never meet, no matter how far they extend
When are lines parallel?
Two lines are said to be parallel when they have the same slope.
The equation of a line is:
y= mx +b
where m= slope and b= y-intercept
to find the slope:
1. y= 6x+12 and y= 6x-4
2. y= 7x-2 and y= (1/2)x+4
3. One line passes through the points (0,4) and (1,8). Another line passes through (2,4) and (4,12). Are these lines parallel?
Line 1: m= (8-4)/(1-0)= 4/1= 4
Line 2: m= (12-4)/(4-2)= 8/2= 4
Both have a slope of 4, so yes these lines are parallel.
-lines that intersect to form four right angles
When are lines perpendicular?
Two lines are said to be perpendicular when their slopes are negative reciprocals of each other.
Reminder: The reciprocal of any number is found by dividing 1 by that number.
The reciprocal of 2 is 1/2
The reciprocal of 3/2 is 1/(3/2)= 2/3
1. y= (-1/2)x+5 and y= 2x-7
2. y= 5x+10 and y= (1/5)x+4
3. One line passes through the points (0,3) and (1,6). Another line passes through (2,-2) and (5,-3). Are these lines perpendicular?
Line 1: m= (6-3)/(1-0)= 3/1=3
Line 2: m= [-3-(-2)]/(5-2)= -1/3
The slope of line 1= 3 and the negative reciprocal of 3 is -1/3, which is the slope of line 2, so yes these lines are perpendicular.
Perpendicular because the
negative reciprocal of 2 is -1/2.
Not perpendicular because 1/5
is the reciprocal of 5, but not the
Parallel because both lines have a slope of 6.
Not parallel because line one has a slope of 7 and line two has a slope of 1/2.