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hal_stirrup
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in a graph where a liner equation intercept another liner equation. why is the intersection make the two equation equal.
 2 years ago
 2 years ago
hal_stirrup Group Title
in a graph where a liner equation intercept another liner equation. why is the intersection make the two equation equal.
 2 years ago
 2 years ago

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hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
dw:1346965908373:dw
 2 years ago

ifrah34 Group TitleBest ResponseYou've already chosen the best response.0
because the two angles reflect eachother
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
a linear equation can be expressed in the form:\[y=mx+c\]which you have correctly drawn as a straight line graph
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
explain more please . thanks
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
now think of two linear equations  these would represent, say:\[y=m_1x+c_1\]and:\[y=m_2x+c_2\]
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
now, if these two lines intersect, then, at the point of intersection, the yvalues of both must be equal  agreed?
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
agreed .
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
therefore, we can say:\[m_1x+c_1=m_2x+c_2\]at the point of intersection
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
which is the same as saying:\[y=y\]
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
because y=y thats grate . amazing . tell if we have quadratic equations dw:1346967366273:dw
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
same applies for quads  except this time you will get two solutions for x instead of one that you got for the linear case
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
dw:1346967476493:dw
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
lets say
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
and each of these, in theory could give you two different y values
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
y1=x^2 +mx + c and y2=x^2 +mx + c
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
quads are usually written as:\[y=a_1x^2+b_1x+c_1\]and:\[y=a_2x^2+b_2x+c_2\]
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
so at the points of intersection we will have:\[a_1x^2+b_1x+c_1=a_2x^2+b_2x+c_2\]
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
which leads to a quadratic equation in x  solve to get the two values for x where these curves intersect
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
in general, we could have two curves defined by:\[y=f(x)\]and:\[y=g(x)\] dw:1346967756823:dw
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
dw:1346967787868:dw
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
and, at each point of intersection, the y and x values on each curve are equal
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
I hope I have explained it well enough for you  let me know if you require any more explanation
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
have outdone yourself
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
many thanks.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
thx  and you are welcome my friend! :)
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
what is the highest think your done in maths??
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
think == thing?
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
ya sorry
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
:) I have studied for a PhD in Aeronautical Engineering. but that was many years ago. I now teach maths as a hobby because I still enjoy it.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
WOW, thats great. can send you some of my question from time to time?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
I'm not sure what you mean by "send", but if you mean message me now and then if no one else is helping you  then yes, by all means do  I'll be glad to help out when I can.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
by that i meant , the message on the top left corner. thanks
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
ok  thats fine.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
am going to do a lot of calculus. nice one
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
but bear in mind that I may not always respond immediately because I also moderate this site so please don't think I'm ignoring you in those cases. :)
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
thanks. I will be patient . :)
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
gr8! speak to you later then...
 2 years ago
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