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OpenStudy (anonymous):
in a graph where a liner equation intercept another liner equation. why is the intersection make the two equation equal.
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OpenStudy (anonymous):
|dw:1346965908373:dw|
OpenStudy (anonymous):
because the two angles reflect eachother
OpenStudy (asnaseer):
a linear equation can be expressed in the form:\[y=mx+c\]which you have correctly drawn as a straight line graph
OpenStudy (anonymous):
explain more please . thanks
OpenStudy (asnaseer):
now think of two linear equations - these would represent, say:\[y=m_1x+c_1\]and:\[y=m_2x+c_2\]
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OpenStudy (anonymous):
ok
OpenStudy (asnaseer):
now, if these two lines intersect, then, at the point of intersection, the y-values of both must be equal - agreed?
OpenStudy (anonymous):
agreed .
OpenStudy (asnaseer):
therefore, we can say:\[m_1x+c_1=m_2x+c_2\]at the point of intersection
OpenStudy (asnaseer):
which is the same as saying:\[y=y\]
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OpenStudy (anonymous):
because y=y thats grate . amazing . tell if we have quadratic equations |dw:1346967366273:dw|
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