A line passes through the points (-8, 7) and (x2, y2), and has a slope of -1/10. If point (x2, y2) is located in quadrant I, find x2.
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OpenStudy (anonymous):
4) A line passes through the points (-8,7) and (x2, y2), and has a slope of 1/14. If point (x2, y2) is located in quadrant I, find y2.
y = (1/14)x + b passes through (8,-7), so
7 = (1/14)(-8) + b --> 106/14
y = (1/14)x + 106/14
This line passes through infinitely many points in quadrant I
OpenStudy (anonymous):
uh wats this
OpenStudy (anonymous):
the asnwer
OpenStudy (anonymous):
my slope is different
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
my bad
OpenStudy (anonymous):
and is find x2
OpenStudy (anonymous):
its ok
OpenStudy (anonymous):
well srry for trying to help
OpenStudy (anonymous):
jk derp
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OpenStudy (anonymous):
so, do you know the answer
jimthompson5910 (jim_thompson5910):
y = mx + b
y = (-1/10)x + b
7 = (-1/10)(-8) + b
7 = 8/10 + b
solve for b
OpenStudy (anonymous):
so is b 6.2
jimthompson5910 (jim_thompson5910):
keep it as a fraction
OpenStudy (anonymous):
so its 6 1/5
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OpenStudy (anonymous):
x2=6 1/5
OpenStudy (anonymous):
am i right
jimthompson5910 (jim_thompson5910):
that's the value of b, not x2
jimthompson5910 (jim_thompson5910):
b = 6 1/5 or b = 31/5
OpenStudy (anonymous):
but the question says find x2
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jimthompson5910 (jim_thompson5910):
so your equation is
\[\Large y = -\frac{1}{10}x + \frac{31}{5}\]
jimthompson5910 (jim_thompson5910):
you can then use this to find the x-intercept
OpenStudy (anonymous):
how
jimthompson5910 (jim_thompson5910):
by plugging in y = 0 and solving for x
jimthompson5910 (jim_thompson5910):
once you have the x-intercept, you can determine the range where the line is in Q1
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jimthompson5910 (jim_thompson5910):
which will help you find x2 (there are many values to choose from for x2)
OpenStudy (anonymous):
so if i solve this equation 0=-1/10x+ 31/5 i will find x2
jimthompson5910 (jim_thompson5910):
that will give you the largest possible value you can pick for x2
jimthompson5910 (jim_thompson5910):
|dw:1363305679244:dw|
jimthompson5910 (jim_thompson5910):
you basically have this line
|dw:1363305714309:dw|
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jimthompson5910 (jim_thompson5910):
the point (x2, y2) will lie on the line and will lie in Q1
|dw:1363305747450:dw|
jimthompson5910 (jim_thompson5910):
so you can see why there are infinitely many possibilities
OpenStudy (anonymous):
how do you now its a negative line not a positive line
jimthompson5910 (jim_thompson5910):
because you have a negative slope
jimthompson5910 (jim_thompson5910):
-1/10 is negative
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OpenStudy (anonymous):
oh yeah you said if i plug y it will give me the largest possible value you can pick for x2 how can i make it the least possible value
jimthompson5910 (jim_thompson5910):
x = 0 is the smallest possible value for x2
jimthompson5910 (jim_thompson5910):
so that part is taken care of
OpenStudy (anonymous):
ok thanks for the help i kinda know it but can i ask you question tommorrow