alright so rate of change is the same thing as asking for slope
OpenStudy (anonymous):
do you remember the equation for slope?
OpenStudy (anonymous):
Mk.
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OpenStudy (anonymous):
y = mx + b?
OpenStudy (anonymous):
that's the equation for a line. m is the slope so m=?
OpenStudy (anonymous):
um... lost right now
OpenStudy (anonymous):
Remind me please?
OpenStudy (anonymous):
so we are asked to find the average rate of change for this function from x=-1 to x=2
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OpenStudy (anonymous):
Alright (btw, I don't have much time left... just a heads up)
OpenStudy (anonymous):
alright since I want to help you get it done and learn
OpenStudy (anonymous):
\[m=\frac{ y_{2}-y_{1} }{ x_{2}- x_{1} }\]
OpenStudy (anonymous):
we can look at the graph since we are given our x to find our y values
OpenStudy (anonymous):
Can you plug in the values and show me how to solve briefly?
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OpenStudy (anonymous):
\[m=\frac{ 4-0 }{ -1-2 }\]
OpenStudy (anonymous):
m=-4/3
OpenStudy (anonymous):
whoa whoa.. where did 4 come from?
OpenStudy (anonymous):
(when you solved above)
OpenStudy (anonymous):
nvm
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OpenStudy (anonymous):
Thanks.
OpenStudy (anonymous):
(still didn't partially get it...)
OpenStudy (anonymous):
what part are you unsure about?
OpenStudy (anonymous):
the 4
OpenStudy (anonymous):
when you solved
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OpenStudy (anonymous):
you look at the graph for it we are told x=-1
OpenStudy (anonymous):
we look at x=-1 and then travel up until we hit the line and when x=-1 the line crosses 4 so we have the point (-1,4)
OpenStudy (anonymous):
Alright... thanks man. Can you tel me what "y^2" and the other 3 stand for? it'll help me a lot in the future.
OpenStudy (anonymous):
My last request, sorry about that.
OpenStudy (anonymous):
its not y^2 it's y2 because you are given two points and you are given two point (-1,4) and (2,0). Pick one as point 2 and then plug in it's y value minus the y value of the first point and over it's x value minus the other point's x value
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