What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)?
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OpenStudy (anonymous):
are u looking for the slope? or the y-mx+b?
OpenStudy (anonymous):
The x coordinate.
OpenStudy (anonymous):
what the answer they give u on it
OpenStudy (anonymous):
They didnt give me any
OpenStudy (anonymous):
oh ok will I got slope is -1
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OpenStudy (anonymous):
I dont get it. So whats the x coordinate??
OpenStudy (anonymous):
@jim_thompson5910 can you help??
jimthompson5910 (jim_thompson5910):
first you need to find the equation of the line through the two points
jimthompson5910 (jim_thompson5910):
are you able to do that?
OpenStudy (anonymous):
nope. can you bring me through the process?
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jimthompson5910 (jim_thompson5910):
do you know how to find the slope of the line through those two points?
OpenStudy (anonymous):
no
jimthompson5910 (jim_thompson5910):
have you seen the slope formula m = (y2-y1)/(x2-x1) before?
OpenStudy (anonymous):
ohhh yes I have. Ill try to solve for it just a sec
jimthompson5910 (jim_thompson5910):
ok plug in the given points and tell me what slope you get
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OpenStudy (anonymous):
6/6 = 1
OpenStudy (anonymous):
so @jim_thompson5910 the slope is one tho
jimthompson5910 (jim_thompson5910):
not quite
m = (y2-y1)/(x2-x1)
m = ( -3- 3)/(1-(-5))
m = ( -3- 3)/(1+5)
m = (-6)/6
m = -1
jimthompson5910 (jim_thompson5910):
You lost a sign somewhere
OpenStudy (anonymous):
oh yup I did :/ so now whats next??
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jimthompson5910 (jim_thompson5910):
now use this to find the y-intercept
jimthompson5910 (jim_thompson5910):
y = mx+b
y = -1*x + b
3 = -1*(-5) + b
3 = 5 + b
b = ??
OpenStudy (anonymous):
b=-2
jimthompson5910 (jim_thompson5910):
so the equation is y = -x - 2
jimthompson5910 (jim_thompson5910):
to find the x-intercept, you plug in y = 0 and solve for x
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OpenStudy (anonymous):
x=-2
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
yayyy:)) thank you can you help me with one more?
Mary is 14 years younger than her sister Jane. In four years, Jane will be 3 times older than Mary. How old is Jane now?
3
7
17
21
jimthompson5910 (jim_thompson5910):
how far did you get here
OpenStudy (anonymous):
m+14=j
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jimthompson5910 (jim_thompson5910):
Mary is 14 years younger than her sister Jane
means that
M = J + 14
OpenStudy (anonymous):
that wouldnt really be possible cause jane is older than mary
jimthompson5910 (jim_thompson5910):
oh wait, misread that, it should be M = J - 14
sorry about that
jimthompson5910 (jim_thompson5910):
so if you rearrange terms you get J = M + 14
jimthompson5910 (jim_thompson5910):
in 4 years, Jane is J+4 years old
in 4 years, Mary is M+4 years old
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