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Describe the graph of a linear equation of Ax+By=C for which a)A=0

b)B=0

c)C=0

Use complete sentences for each description and show an example of each as well.

Verified Answer :

Answers in the attachment below.

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\(a)\ A=0\\\\then\ Ax+By=C\Rightarrow By=C\to y=\frac{C}{B}\\\\picture\ \#1\)


\(b)\ B=0\\\\then\ Ax+By=C\Rightarrow Ax=C\to x=\frac{C}{A}\\\\picture\ \#2\)


\(c)\ C=0\\\\then\ Ax+By=C\Rightarrow Ax+By=0\to By=-Ax\to y=-\frac{A}{B}x\\\\picture\ \#3\)

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