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Mathematics 26 Online
OpenStudy (anonymous):

in a graph where a liner equation intercept another liner equation. why is the intersection make the two equation equal.

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:\[y=m_2x+c_2\]

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:\[y=y\]

OpenStudy (anonymous):

because y=y thats grate . amazing . tell if we have quadratic equations |dw:1346967366273:dw|

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