What is the slope of a line perpendicular to x - 5y = -10?
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OpenStudy (diyadiya):
Write it in the form y=mx+b
where m is the slope :)
OpenStudy (anonymous):
Im confused so would u write it 5y=mx-10?
OpenStudy (diyadiya):
Nope
OpenStudy (diyadiya):
First subtract x from both sides
OpenStudy (anonymous):
so -5y=-10-x?
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OpenStudy (diyadiya):
Right
Now we need this in the form y=mx+c
OpenStudy (diyadiya):
just rearrange it and you'll get
-5y=-x-10
okay?
OpenStudy (anonymous):
okay
OpenStudy (diyadiya):
Now you don't need that -5 on the left side ,do you?
OpenStudy (anonymous):
no
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OpenStudy (diyadiya):
Ok so what do you do?
OpenStudy (anonymous):
divide ?
OpenStudy (diyadiya):
Yes! divide both sides by -5
OpenStudy (diyadiya):
and be carefull when you divide the right side ,you should divide each term
OpenStudy (anonymous):
y=5x+2 ?
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OpenStudy (diyadiya):
Nope
OpenStudy (diyadiya):
y=(-x/-5)- (10/-5)
OpenStudy (anonymous):
so m= 2
OpenStudy (diyadiya):
Nope
OpenStudy (diyadiya):
\[y= \frac{-x}{-5}- \frac{10}{-5}\]
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OpenStudy (anonymous):
-5x+2
OpenStudy (diyadiya):
\[y= \frac{x}{5}-2\]
OpenStudy (diyadiya):
\[y= \frac{1}{5}x-2\]
OpenStudy (diyadiya):
this is of the form y=mx+c
So m is?
OpenStudy (anonymous):
-2
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OpenStudy (diyadiya):
\[y= \frac{1}{5}x-2\]\[y=m \ x +c\]
Now tell me what is m ?
OpenStudy (diyadiya):
just compare both equation
OpenStudy (anonymous):
1/5 but thats not one of my anwsers...
OpenStudy (diyadiya):
0.2?
OpenStudy (anonymous):
the anwsers are 2 -3 -4 -5 -2
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OpenStudy (diyadiya):
Sorry for the wrong answer =|
OpenStudy (anonymous):
Im confused. idk what to put. i see that we did it right, but i dont understand how the answer doesnt come out to be one of those...
OpenStudy (apoorvk):
okay.. so for a line of the standard slope intercept form "y=mx+c"
slope is 'm'
and for a line perpendicular to this one, its slope is automatically "-1/m".
so can you rearrange the above line's equation above in the form above, and find 'm'??
post what you get.
OpenStudy (anonymous):
huh?
OpenStudy (anonymous):
this just confuses me....
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OpenStudy (diyadiya):
OHHH YEH its PERPENDICULAR!!!! OOPS
OpenStudy (diyadiya):
Its just the same when its perpendicular the equation becomes
\[y=\frac{-1}{m}x+c\]
OpenStudy (anonymous):
m=-5 and c= -10?
OpenStudy (apoorvk):
let me show you S T E P - B Y - S T E P.
V E R Y S L O W L Y!
the line is
x-5y = -10
or, 5y= x + 10
y = x/5 + 2
now comparing (i) with y=mx+c.
coefficient of x = m = slope = 1/5
so slope of the perpendicular line = -1/m = -5
Clear?
OpenStudy (anonymous):
some what
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OpenStudy (apoorvk):
go take a break, and come back to this problem with a clear mind. it 'll come to you naturally then :) don't fret