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Mathematics 13 Online
OpenStudy (anonymous):

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.

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

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

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

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

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

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|

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

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

jimthompson5910 (jim_thompson5910):

sure

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