Mathematics
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OpenStudy (anonymous):
what equation is solved by the graphed system of equations? (-1,-4)
@satellite73 @jim_thompson5910 @ganeshie8 @Hero @Directrix
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jimthompson5910 (jim_thompson5910):
there's missing info
OpenStudy (anonymous):
there is a graph , but those are the points that are given
OpenStudy (anonymous):
thats where the points cross
jimthompson5910 (jim_thompson5910):
you only gave one point
post the graph please
OpenStudy (anonymous):
one sec
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OpenStudy (anonymous):
those are the answer options as well
jimthompson5910 (jim_thompson5910):
ok focus on the steeper line
jimthompson5910 (jim_thompson5910):
what is the slope of that line?
OpenStudy (anonymous):
idk (-1,-4)?
OpenStudy (anonymous):
idk any of this
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jimthompson5910 (jim_thompson5910):
do you see how the point (-1,-4) and the point (0,3) they both lie on that steeper line?
OpenStudy (anonymous):
yea
jimthompson5910 (jim_thompson5910):
how many vertical units must you go up to get from (-1,-4) to (0,3) ?
OpenStudy (anonymous):
up 1, to the right 7?
jimthompson5910 (jim_thompson5910):
you have it flipped around
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jimthompson5910 (jim_thompson5910):
up 7
to the right 1
jimthompson5910 (jim_thompson5910):
rise = 7
run = 1
slope = rise/run = 7/1 = 7
so the slope of the steeper line is 7
OpenStudy (anonymous):
oh sorry
OpenStudy (anonymous):
okay so what would i do next?
jimthompson5910 (jim_thompson5910):
slope is 7, so m = 7
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jimthompson5910 (jim_thompson5910):
what is the y-intercept of that steeper line?
OpenStudy (anonymous):
3?
jimthompson5910 (jim_thompson5910):
so b = 3
jimthompson5910 (jim_thompson5910):
m = 7, b = 3
y = mx+b
y = 7x + 3
jimthompson5910 (jim_thompson5910):
y = 7x+3 is the equation of the steeper line
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OpenStudy (anonymous):
then do i put it in slope intercept formula?
jimthompson5910 (jim_thompson5910):
yes plug m = 7 and b = 3 into y = mx+b
jimthompson5910 (jim_thompson5910):
do you see how to find the equation of the other line?
OpenStudy (anonymous):
so would the answer be A?
jimthompson5910 (jim_thompson5910):
what did you get for the equation of the other line?
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OpenStudy (anonymous):
i didnt do it?
jimthompson5910 (jim_thompson5910):
give it a shot
jimthompson5910 (jim_thompson5910):
use the steps I showed above
OpenStudy (anonymous):
im still kind of confused on how to do the second one? could u help?
jimthompson5910 (jim_thompson5910):
whats the slope of that other line
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OpenStudy (anonymous):
well isnt the second line (3,0)?
jimthompson5910 (jim_thompson5910):
that's a point on that second line
jimthompson5910 (jim_thompson5910):
what is the slope
OpenStudy (anonymous):
so would the rise/run be 3/4?
OpenStudy (anonymous):
guessing
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jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
what is it?
jimthompson5910 (jim_thompson5910):
start at (-1,-4) and try to get to another point on that second line
jimthompson5910 (jim_thompson5910):
record the rise and run and tell me what you get
OpenStudy (anonymous):
1/1?
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jimthompson5910 (jim_thompson5910):
yep, which reduces to 1
jimthompson5910 (jim_thompson5910):
slope = 1
m = 1
jimthompson5910 (jim_thompson5910):
the y-intercept is what?
OpenStudy (anonymous):
0?
jimthompson5910 (jim_thompson5910):
nope
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jimthompson5910 (jim_thompson5910):
look where the line crosses the y axis
OpenStudy (anonymous):
3?
jimthompson5910 (jim_thompson5910):
close, but no
OpenStudy (anonymous):
idk the what is it?
jimthompson5910 (jim_thompson5910):
you might be looking at the steep line
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jimthompson5910 (jim_thompson5910):
look at the other line
OpenStudy (anonymous):
-1?
OpenStudy (anonymous):
-4?
jimthompson5910 (jim_thompson5910):
look where the nonsteep line crosses the y axis
jimthompson5910 (jim_thompson5910):
the y axis is the vertical axis
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OpenStudy (anonymous):
idk i give up
OpenStudy (anonymous):
lol
jimthompson5910 (jim_thompson5910):
how did you get -1 and -4? I'm curious
jimthompson5910 (jim_thompson5910):
oh you looked at the point (-1, -4) ?
OpenStudy (anonymous):
yea
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jimthompson5910 (jim_thompson5910):
I see
jimthompson5910 (jim_thompson5910):
the second line crosses, or intersects, the y axis
hopefully you see where I'm talking about
jimthompson5910 (jim_thompson5910):
|dw:1421464994999:dw|
jimthompson5910 (jim_thompson5910):
|dw:1421465012112:dw|
OpenStudy (anonymous):
r u talking about -3?
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jimthompson5910 (jim_thompson5910):
|dw:1421465037633:dw|