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OpenStudy (anonymous):
Algebra II Question!
Solve for k, given points (1, k) and (5, | k |) lie on a line that has a slope of 3/5 .
A) -3/10
B) -6/5
C) -3/20
D) Ø
E) NOTA
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OpenStudy (anonymous):
I would use vector geometry, with the given slope.
OpenStudy (anonymous):
It's Algebra II :P
OpenStudy (anonymous):
it's not in the title q-:
OpenStudy (anonymous):
Now it is :P XD
OpenStudy (anonymous):
*grins*
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OpenStudy (kinggeorge):
I would use the fact that since it has a slope that isn't infinity, \(|k|\neq k\). Hence, \(k\) must be negative.
OpenStudy (anonymous):
Oh that makes sense...but all of the answer choices are negative, so I kind of assumed that...
OpenStudy (kinggeorge):
Next up, that means that \[\frac{-k-k}{5-1}=\frac{-2k}{4}=\frac{3}{5}\]Solve for \(k\), and I get \[k=-\frac{6}{5}\]
OpenStudy (kinggeorge):
I used \((-k)-k\) for the numerator since \(|k|=-k\) must be true since \(k\) is negative.
OpenStudy (anonymous):
Oh. I get it now...I just for some reason tend to get confused when absolute value comes in...
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OpenStudy (anonymous):
Thank you :)
OpenStudy (kinggeorge):
You're welcome.
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