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OpenStudy (ibbutibbu.):
OpenStudy (tylerd):
ok so im guessing this wants you to write a y=mx+b kinda thing
OpenStudy (tylerd):
we have 2 points
OpenStudy (tylerd):
(5,60) and (10,40)
OpenStudy (ibbutibbu.):
oh so then do i use the formula to find slope?
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OpenStudy (tylerd):
yes
OpenStudy (ibbutibbu.):
\[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} } ?\]
OpenStudy (tylerd):
\[\frac{ \Delta f(x)\ }{ \Delta x }\]
OpenStudy (tylerd):
yes
OpenStudy (ibbutibbu.):
\[\frac{40-60}{10-5 }?\]
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OpenStudy (tylerd):
yep
OpenStudy (ibbutibbu.):
so then \[\frac{ -20 }{ 5 }\]
OpenStudy (tylerd):
\[y=-4x+b\]
OpenStudy (ibbutibbu.):
and then -4 is the answer YES
OpenStudy (tylerd):
there are 2 -4 answers
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OpenStudy (ibbutibbu.):
but it needs to be a function
OpenStudy (tylerd):
so now plug in the values for x and y
OpenStudy (tylerd):
\[60=-4(5)+b\]
OpenStudy (ibbutibbu.):
uhh which values? there are 2 that I can use
OpenStudy (tylerd):
either of the 2 should work
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OpenStudy (the_fizicx99):
In y = mx + b
M is the slope, B is the y-intercept or starting point.
1) Obviously it's decreasing, therefore your slope is going to be negative. So that narrows it down to 2 choices.
In week 5 you had 60, therefore by applying the slope formula you'll find that the starting point was 80.
If you wanted to solve it completely,
(5, 60) and (10, 40)
\(\ \sf \dfrac{40 - 60}{10-5} = -20/5 = -4 \)
y - 60 = -4(x - 5)
y - 60 = -4x + 20
+60 +60
y = -4x + 80
OpenStudy (ibbutibbu.):
ok so uhh 40=-4(10) + b ?
OpenStudy (tylerd):
yes that could work
OpenStudy (ibbutibbu.):
ok so b would be 80??
OpenStudy (ibbutibbu.):
so then the equation would be y = -4x + 80
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OpenStudy (ibbutibbu.):
but it needs to be a function
OpenStudy (ibbutibbu.):
now im confused
OpenStudy (tylerd):
you could do y=mx+b then plug in one of the (x,y) points for x and y.
or you can do the same thing but say
\[y-y_{0}=-4(x-x_{o})\]
y - 60 = -4(x - 5)
y - 60 = -4x + 20
+60 +60
y = -4x + 80
like fizic did
OpenStudy (tylerd):
the function is just f(x)=-4x+80
OpenStudy (tylerd):
y=f(x)
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OpenStudy (ibbutibbu.):
ok THANKS!!!
OpenStudy (ibbutibbu.):
so the answer is D rigth?
OpenStudy (tylerd):
could be :)
OpenStudy (tylerd):
is that your final answer?
OpenStudy (tylerd):
you have 3 life lines left
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