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TSI Math: Writing the Equation for a Line's Bisector 3 Views
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Description:
A line has endpoints A (0, 6) and B (-2,-10). Which of the following is the correct equation of the perpendicular bisector of this line?
Transcript
- 00:02
All right sy mash members another one Ah line has
- 00:04
en points a zero six and be at negative too
- 00:09
Negative ten Which of the following is the correct equation
- 00:12
for the perpendicular by sector of this line Cool So
- 00:21
uh well let's See Get that camera ready and make
Full Transcript
- 00:23
sure it's got plenty of battery left because we're going
- 00:26
on a hunt Were hunting for a line which if
- 00:28
you consider getting a poor grade a matter of life
- 00:30
and death can be as dangerous as hunting lion All
- 00:33
right find this particular line were given a few clues
- 00:36
We're told the line is the perpendicular by sector of
- 00:38
a line within point So six and negative too negative
- 00:40
ten which is really all the information we need Because
- 00:43
we'll be able to find its slope here pretty easily
- 00:45
The line is the perpendicular by sector of line segment
- 00:48
a bee So its slope will be the negative reciprocal
- 00:51
of the slope of a bee Let's find that slope
- 00:54
first and we've got the whole why to money is
- 00:57
why one over x human sex One thing that's what
- 00:59
it looks like six minus eight Ten over zero money
- 01:01
thing to its sixteen over two or eight Voila The
- 01:04
negative reciprocal of aid is negative One eighth All right
- 01:09
so we can get rid of a and we can
- 01:11
get rid of sea right off the bat And actually
- 01:14
we can get rid of dia's Wells is not negative
- 01:16
So just by process of elimination we're kind of there
- 01:19
already But let's keep going Now that we have our
- 01:21
slope i really have to make sure that the line
- 01:23
passes through the mid point of a b to find
- 01:26
the midpoint of baby We'll use another one of our
- 01:29
trusted formulas The midpoint formula Okay so here it is
- 01:33
Ah this ugly thing here and we get what is
- 01:35
that Quantities europe listening to over to you And then
- 01:38
six plus minus ten answering for over two And all
- 01:42
that boils down Teo what is that Negative one Negative
- 01:45
too We need a line that passes through the point
- 01:47
negative one negative too and has a slope of negative
- 01:50
one eighth which we can easily find by plugging in
- 01:53
the x and y value right there Plus the slope
- 01:56
into the y equals mx plus b thing So that
- 01:58
gives us negative too is a negative one Eighth time
- 02:01
to think of one plus b or negative too is
- 02:04
when a plus b bringing the one eighth over there
- 02:06
on the far side And we get negative Seventeen Eight
- 02:10
is be so Our final equation is y equals negative
- 02:13
one eighth axe minus seventeen over eight And yeah that's 00:02:16.32 --> [endTime] Just be we're done for shmoop
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