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Real Numbers and Quantities Videos 14 videos
You can learn pretty much all there is to know about a linear equation by checking its relationship status. Just keep your fingers crossed that it...
This video explains how to use slope-intercept form to graph a line or find an x value when you know the y value and the slope. Just remember rise...
Apparently, Cinderella used mathematical strategies and the standard form of linear equations to get the prince's attention. The shoe was just the...
All You Need to Know about Slopes of Parallel and Perpendicular Lines 2756 Views
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Description:
So many parallel and perpendicular lines all over the place, and none of them have been labeled. Which begs the question: whose lines are they, anyway?
Transcript
- 00:04
Slopes of parallel and perpendicular lines, a la Shmoop. [title page]
- 00:08
Two magician's apprentices have turned their master into a bear--which is a problem, because [magician turns into bear]
- 00:13
he's an angry bear. [bear chases kids]
- 00:15
Help them figure out what went wrong by calculating whether the slopes of their magic rays were
- 00:20
parallel or perpendicular.
Full Transcript
- 00:22
The equations of their magic rays are: y=3x+4 and y=3x+10. [equations shown]
- 00:30
Fortunately, these equations are already set up in slope-intercept form (y=mx+b, where [equations on slopes]
- 00:38
m is the slope). [slope-intercept form demonstrated]
- 00:41
That means that the slope in each equation is 3.
- 00:45
According to the Magician's Apprentice Handbook, "If two lines are perpendicular, their slopes [handbook opens]
- 00:50
are negative reciprocals of each other."
- 00:53
Negative reciprocals, when multiplied together, equal -1. [negative reciprocals defined]
- 00:58
3 x -1/3 = -1, so if one of the two equations had a slope of -1/3, then these two equations
- 01:08
would be perpendicular to each other. [perpendicular lines explained]
- 01:10
If two lines are parallel, their slopes are the same. [parallel lines defined]
- 01:14
Since we know each equation has a slope of 3, their slopes are parallel.
- 01:19
Oh, here it is, page 32... [handbook opens]
- 01:22
"Parallel magic rays deployed at the same time result in... bear."
- 01:27
Magical antidote?
- 01:28
Get rid of the evidence. [kids run from bear]
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