Mathematics
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OpenStudy (anonymous):
Find the slope of a line passing through the points (1980,19000) and (2000,4000) help PLEASE
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OpenStudy (anonymous):
shoot typo, it should read (1980,19000) and (2000,41000) NOT (4000)
jimthompson5910 (jim_thompson5910):
Subtract the y coordinates: 41000 - 19000 = 22000
jimthompson5910 (jim_thompson5910):
Subtract the x coordinates (in the same order). Tell me what you get.
OpenStudy (anonymous):
20
OpenStudy (anonymous):
is the x coordinates?
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jimthompson5910 (jim_thompson5910):
no, it's the change in y over change in x
jimthompson5910 (jim_thompson5910):
slope = (difference in y coordinates)/(difference in x coordinates)
slope = (22000)/(20)
slope = 1100
OpenStudy (anonymous):
OH! I see, and then I multiply 1100 by 20 which gave me 22,000 and add that to my 41000 which gives me a median family increase to 63000 in year 2005.
jimthompson5910 (jim_thompson5910):
No, you found the slope to be m = 1100
OpenStudy (anonymous):
i'm confused
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jimthompson5910 (jim_thompson5910):
now use this in
y = mx+b
along with x = 1980 and y = 19000 to find b
OpenStudy (anonymous):
first year algebra, forgive me, can you help me walk through it without giving me the answer?
jimthompson5910 (jim_thompson5910):
y = mx+b
y = 1100x + b
19000 = 1100*1980 + b
Now solve for b
jimthompson5910 (jim_thompson5910):
Does that make sense?
OpenStudy (anonymous):
2178000 when i multiply 1100*1980.
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jimthompson5910 (jim_thompson5910):
good so far, what's next?
OpenStudy (anonymous):
2159000 is b?
OpenStudy (anonymous):
think i'm doing it right
jimthompson5910 (jim_thompson5910):
it's negative though
jimthompson5910 (jim_thompson5910):
since 19000 - 2178000 = -2159000
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jimthompson5910 (jim_thompson5910):
so
y = mx+b
becomes
y = 1100x - 2159000
jimthompson5910 (jim_thompson5910):
so in 2005, the median income is...
y = 1100x - 2159000
y = 1100(2005) - 2159000
Keep going to get the answer
OpenStudy (anonymous):
46500
OpenStudy (anonymous):
thanks Jim. Let me know how I did. :)
jimthompson5910 (jim_thompson5910):
that's it, you nailed it
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OpenStudy (anonymous):
You rule! Thank you. :)
jimthompson5910 (jim_thompson5910):
you're welcome