Write the slope-intercept equation of the line perpendicular to y = 5/2 x - 2, which passes though the point (0, 2).
Answer
y = 5x + 2
y = -2/5x + 2
y = 2x + 5
y = 1/2x + 5
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OpenStudy (hba):
Well it is easy
First of all find the slope of the equation :)
OpenStudy (anonymous):
perpendicular is opposite reciprical
OpenStudy (anonymous):
pourquoi tu n'as pas de cerveau serieux mon dieu..
OpenStudy (anonymous):
so how do i find slope with the y=mx+b right?
OpenStudy (hba):
Yeah
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OpenStudy (anonymous):
what is the slope so far?
OpenStudy (anonymous):
5/2?
OpenStudy (hba):
We will find the slope of this equation and use
\[\huge\ m_1 \times m_2=-1\]
OpenStudy (hba):
So we can find the slope of the line perp to it.
OpenStudy (anonymous):
now what is the opposite reciprical of 5/2?
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OpenStudy (anonymous):
2/5
OpenStudy (hba):
-2/5 *
OpenStudy (anonymous):
oh so now I?
OpenStudy (hba):
Now use,
y-y1=m(x-x1)
OpenStudy (anonymous):
yes -2/5 i say opposite because if the slope was positive the opposite would be negative. n so forth
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OpenStudy (hba):
Use the formula i provided :)
OpenStudy (hba):
\[m_2=-1/m_1\]
OpenStudy (anonymous):
so id do the same with this formula like id did the other 1 earlier?
OpenStudy (hba):
Yes :)
OpenStudy (anonymous):
with the 2 ys and 2 xs that was confusing to me??
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OpenStudy (hba):
Play the plug in game ;)
OpenStudy (hba):
I am off to sleep @blondie16 will take care of the rest i guess if you need help.
OpenStudy (anonymous):
okay thank you for your help @hba
OpenStudy (anonymous):
so ampy id just get y-2=-2/5(x-5/2)??
OpenStudy (hba):
no x1-0
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OpenStudy (anonymous):
oh okay
OpenStudy (anonymous):
y-y1=m(x-x1) then plug in the y value into the y1 and the x value into the x1 and the new slope into m
OpenStudy (anonymous):
so it would be y-2=-2/5(x-0)?
OpenStudy (anonymous):
other way around xD
OpenStudy (anonymous):
-2/5(x-0)=y-2?
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OpenStudy (anonymous):
LOL switch the x and y values
OpenStudy (anonymous):
y-0=-2/5(x-2) ??
OpenStudy (anonymous):
yesh then solve for y... but the answer is pretty easy bc there is only 1 answer with the same slope