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Writing the Equation of a Perpendicular Line 15 Views
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Description:
What could be the equation of a line perpendicular to the line shown?
Transcript
- 00:02
Okay math people Here we go Another graph Right What
- 00:04
could be the equation of the line perpendicular to the
- 00:08
line shown All right so let's stare at that perfect
- 00:15
ninety degree angle to the line right there Yeah we're
- 00:18
putting down the sharpie The computer based ccs fire won't
Full Transcript
- 00:21
give you points for defacing school property Perpendicular lines have
- 00:24
slope with the opposite signs i'ii won will be negative
- 00:28
The other positive and the values of their slopes will
- 00:31
be reciprocal Sze Well well positive slopes rise up on
- 00:35
the y axis as x values increase like goes up
- 00:39
like that and there's a negative slope of those go
- 00:41
downwards as x values go up we can make our
- 00:44
mathematical lives a little easier by eliminating a few of
- 00:46
these choices right off the bat Since we're looking for
- 00:49
a line that's perpendicular to the one in the graph
- 00:51
it happens to have a positive slope so we can
- 00:54
narrow down the answers to the two with negative slopes
- 00:57
Right it's got to be either a or b All
- 00:58
we need to do now is find the slope of
- 01:00
our graph and take its negative reciprocal Well if we
- 01:03
started the y you nurse after zero two right there
- 01:06
and head to the point one five when we move
- 01:09
up three units and go to the right One unit
- 01:12
right there Well slope is the ratio of vertical change
- 01:14
Toe horizontal change so well that's rise of iran and
- 01:17
the three over one perpendicular lines then have slopes that
- 01:21
air negative reciprocal sze of each other So a line
- 01:24
with a slope perpendicular to this one must have a
- 01:27
slope of negative one third Don't forget the negative in
- 01:31
there Yeah so it's going to be on the y
- 01:33
equals mx plus b format It'll be why equals negative
- 01:37
one third act's minus four so that's it The answer 00:01:40.244 --> [endTime] is b
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