document.write( "Question 55464: write the general equation form of the line which passes through the 2 points: (1,2), (6,7) \n" ); document.write( "
Algebra.Com's Answer #37625 by tutorcecilia(2152)\"\" \"About 
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Ax+By=C [General equation of a line]
\n" ); document.write( "(y-y2)=m(x-x2) [Point-slope equation of a line.]
\n" ); document.write( "m=(y-y2)/(x-x2) [Formula for the slope of a line.]
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\n" ); document.write( "(1,2), (6,7) [Find the slope of the line with these two points]
\n" ); document.write( "m=(7-2)/(6-1)=5/5=1 [Plug-in the values]
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\n" ); document.write( "(y-7)=(1)(x-6) [Use the point-slope formula; plug-in the points and slope]
\n" ); document.write( "y-7=x-6 [Isolate the numbers]
\n" ); document.write( "y-x=-6+7
\n" ); document.write( "-x+y=1 [General equation of a line]
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\n" ); document.write( "Check by plugging either set of coordinate points into the formula:
\n" ); document.write( "Example: Use (1, 2)
\n" ); document.write( "(-(1)+(2))=1
\n" ); document.write( "1=1 [checks out]
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\n" ); document.write( "Use (6, 7)
\n" ); document.write( "-(6)+7=1
\n" ); document.write( "1=1 [Also checks out]\r
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