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Mathematics 21 Online
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HELP

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jimthompson5910 (jim_thompson5910):

hint: find the equation of the line through (1,125) and (2,200)

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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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?

jimthompson5910 (jim_thompson5910):

what are the y coords of the points I gave you

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(1,125) and (2,200)

jimthompson5910 (jim_thompson5910):

what are the y coords of those points

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I don't know

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

jimthompson5910 (jim_thompson5910):

right now I just want you to list the y coordinates

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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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2?

jimthompson5910 (jim_thompson5910):

that's the x coordinate

jimthompson5910 (jim_thompson5910):

I want the y coordinate

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x coordinate of 2 y coordinate 200

jimthompson5910 (jim_thompson5910):

correct

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 ???

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75

jimthompson5910 (jim_thompson5910):

yes if you do 200 - 125 = 75

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?

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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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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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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

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I get x=682/75

jimthompson5910 (jim_thompson5910):

what is that in decimal form?

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909

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

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

9.09 thousand = 9.09*1000 = 9,090

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