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OpenStudy (ttp):
jimthompson5910 (jim_thompson5910):
hint: find the equation of the line through (1,125) and (2,200)
OpenStudy (ttp):
how do I do that?
jimthompson5910 (jim_thompson5910):
you start by finding the slope
jimthompson5910 (jim_thompson5910):
using the slope formula
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
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OpenStudy (ttp):
?
jimthompson5910 (jim_thompson5910):
what are the y coords of the points I gave you
OpenStudy (ttp):
(1,125) and (2,200)
jimthompson5910 (jim_thompson5910):
what are the y coords of those points
OpenStudy (ttp):
I don't know
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jimthompson5910 (jim_thompson5910):
each point is of the form (x,y)
jimthompson5910 (jim_thompson5910):
the second coord is the y coord
jimthompson5910 (jim_thompson5910):
so the y coordinates are what?
jimthompson5910 (jim_thompson5910):
idk how you're getting that
jimthompson5910 (jim_thompson5910):
(1,125) and (2,200) are the given points
the second number in each pair is the y coordinate
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jimthompson5910 (jim_thompson5910):
right now I just want you to list the y coordinates
OpenStudy (ttp):
so (2,5) (0,0)
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
the point (1,125) has the x coordinate of 1 and a y coordinate of 125
jimthompson5910 (jim_thompson5910):
the point (2,200) has the y coordinate of ???
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OpenStudy (ttp):
2?
jimthompson5910 (jim_thompson5910):
that's the x coordinate
jimthompson5910 (jim_thompson5910):
I want the y coordinate
OpenStudy (ttp):
x coordinate of 2 y coordinate 200
jimthompson5910 (jim_thompson5910):
correct
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jimthompson5910 (jim_thompson5910):
so we have these y coordinates: 125 and 200
jimthompson5910 (jim_thompson5910):
from (1,125) and (2,200)
jimthompson5910 (jim_thompson5910):
subtract the y coordinates to get ???
OpenStudy (ttp):
75
jimthompson5910 (jim_thompson5910):
yes if you do 200 - 125 = 75
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jimthompson5910 (jim_thompson5910):
now you subtract the x coords in the same order
2 - 1 = 1
jimthompson5910 (jim_thompson5910):
y difference: 75
x difference: 1
divide the two values: 75/1 = 75
the slope is m = 75
jimthompson5910 (jim_thompson5910):
make sense?
OpenStudy (ttp):
yes!
jimthompson5910 (jim_thompson5910):
we know that m = 75 is the slope
we also know (x,y) = (1,125) is one point on the line
so...
y = mx+b
y = 75x+b ... plug in m = 75
125 = 75(1)+b ... plug in (x,y) = (1,125)
125 = 75 + b
b = ???
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OpenStudy (ttp):
50
jimthompson5910 (jim_thompson5910):
m = 75 and b = 50
jimthompson5910 (jim_thompson5910):
y = mx+b
y = 75x+b ... plug in m = 75
y = 75x + 50 ... plug in b = 50
jimthompson5910 (jim_thompson5910):
the equation that goes through the majority of the points on that scatter plot is y = 75x + 50
jimthompson5910 (jim_thompson5910):
so you can use y = 75x + 50 to answer the question
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OpenStudy (ttp):
ok next?
jimthompson5910 (jim_thompson5910):
they want to know the value of x when y = 732
y = 75x + 50
732 = 75x + 50
solve for x
OpenStudy (ttp):
I get x=682/75
jimthompson5910 (jim_thompson5910):
what is that in decimal form?
OpenStudy (ttp):
909
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jimthompson5910 (jim_thompson5910):
the decimal point is missing somewhere
jimthompson5910 (jim_thompson5910):
close
jimthompson5910 (jim_thompson5910):
I'm getting something slightly different though
jimthompson5910 (jim_thompson5910):
double check your decimal number
OpenStudy (ttp):
9.09
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