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All right sy mash members another one Ah line has

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en points a zero six and be at negative too

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Negative ten Which of the following is the correct equation

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for the perpendicular by sector of this line Cool So

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uh well let's See Get that camera ready and make

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sure it's got plenty of battery left because we're going

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on a hunt Were hunting for a line which if

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you consider getting a poor grade a matter of life

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and death can be as dangerous as hunting lion All

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right find this particular line were given a few clues

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We're told the line is the perpendicular by sector of

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a line within point So six and negative too negative

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ten which is really all the information we need Because

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we'll be able to find its slope here pretty easily

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The line is the perpendicular by sector of line segment

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a bee So its slope will be the negative reciprocal

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of the slope of a bee Let's find that slope

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first and we've got the whole why to money is

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why one over x human sex One thing that's what

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it looks like six minus eight Ten over zero money

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thing to its sixteen over two or eight Voila The

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negative reciprocal of aid is negative One eighth All right

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so we can get rid of a and we can

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get rid of sea right off the bat And actually

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we can get rid of dia's Wells is not negative

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So just by process of elimination we're kind of there

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already But let's keep going Now that we have our

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slope i really have to make sure that the line

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passes through the mid point of a b to find

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the midpoint of baby We'll use another one of our

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trusted formulas The midpoint formula Okay so here it is

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Ah this ugly thing here and we get what is

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that Quantities europe listening to over to you And then

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six plus minus ten answering for over two And all

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that boils down Teo what is that Negative one Negative

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too We need a line that passes through the point

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negative one negative too and has a slope of negative

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one eighth which we can easily find by plugging in

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the x and y value right there Plus the slope

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into the y equals mx plus b thing So that

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gives us negative too is a negative one Eighth time

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to think of one plus b or negative too is

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when a plus b bringing the one eighth over there

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on the far side And we get negative Seventeen Eight

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is be so Our final equation is y equals negative

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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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