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Mathematics 12 Online
OpenStudy (anonymous):

algebra

OpenStudy (anonymous):

OpenStudy (anonymous):

@imqwerty

OpenStudy (susanna):

use slope formula m=(y-y)/(x-x) to find the slope. Then plug in one of the points, like (3, 2500) into the point-slope formula y-y=m(x-x), and solve.

OpenStudy (anonymous):

set the equation so i can solve it

imqwerty (imqwerty):

okay just use the 2point form of st lines okay so if u got 2 points \((x_1,~y_1)\) and \((x_2,~y_2)\) then the line can be written as- \(\Large \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}\) okay so just take any 2 beautiful points okay i took these 2- \((3,2500)\) and \((5,3000)\) then just put them in equation and simplify to get answer in required form

OpenStudy (susanna):

m=(3000-2500)/(5-3)

OpenStudy (anonymous):

thanks give me a second

OpenStudy (anonymous):

m=250

OpenStudy (susanna):

y-2500=250(x-3)

OpenStudy (anonymous):

y=250x+1750

OpenStudy (susanna):

yes

OpenStudy (anonymous):

its not letting me plug 250 on the green box

OpenStudy (anonymous):

OpenStudy (susanna):

I don't know...the equation is right.

OpenStudy (anonymous):

yeah i have 3 days trying to to solve this one

OpenStudy (anonymous):

the equation was wrong

OpenStudy (anonymous):

OpenStudy (anonymous):

I believe the problem is that to find the equation of a trend line you must use the starting point and the ending point, rather than 2 random points. So you would want the slope between (14, 5800) and (3, 2500).

OpenStudy (anonymous):

alpha can you set up that equation for me please

OpenStudy (susanna):

шеы 300

OpenStudy (susanna):

*it's

OpenStudy (susanna):

so, y-2500=300(x-3)

OpenStudy (susanna):

y=300x+1600

OpenStudy (anonymous):

Right. The equation to find the slope would have been: m=(5800-2500)/(14-3) And then Susanna's steps are right.

OpenStudy (anonymous):

i still can't find the next step answer

OpenStudy (anonymous):

Did the picture you posted mean that 312.5 was the correct slope that they wanted?

OpenStudy (anonymous):

the other part

OpenStudy (anonymous):

OpenStudy (anonymous):

Ah! I have found what we did wrong. It specifically tells you to use the data from 1988 and 1996 to find your trend line, which means it is the points (3,2500) and (11,5000). So, your slope formula would be: m=(5000-2500)/(11-3)=2500/8=312.5 Which is the answer you already have. To find the second part, we put it into point-slope form, which is: \[y-y _{1}=m(x-x _{1})\] Let's choose (3,2500) as our point, so: \[(x _{1},y _{1})=(3,2500)\] Can you plug these values in and solve now?

OpenStudy (anonymous):

how can i plug those in?

OpenStudy (anonymous):

So we have a value for m: m=312.5 We have a value for x1: \[x _{1}=3\] And we have a value for y1: \[y _{1}=2500\] You can plug these values into the formula: \[y-y _{1}=m(x-x _{1})\] And then simplify to get the answer.

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