document.write( "Question 944857: Find the equation of the line parrallel to 6x+13y=12 and passing through the point (0,7) \n" ); document.write( "

Algebra.Com's Answer #576123 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
First get the equation into the slope-intercept
\n" ); document.write( "form which looks like:
\n" ); document.write( " $\"+y+=+m%2Ax+%2B+b+\"$ where
\n" ); document.write( " $\"+m+\"$ = slope
\n" ); document.write( " $\"+b+\"$ = y-intercept
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+6x+%2B+13y+=+12+\"$
\n" ); document.write( " $\"+13y+=+-6x+%2B+12+\"$
\n" ); document.write( " $\"+y+=+-%286%2F13%29%2Ax+%2B+12%2F13+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Any straight line parallel to this straight line
\n" ); document.write( "will have slope = $\"+-6%2F13+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( "(0,7)
\n" ); document.write( " $\"+%28+y+-+7+%29+%2F+%28+x+-+0+%29+=+-6%2F13+\"$
\n" ); document.write( " $\"+y+-+7+=+-%286%2F13%29%2Ax+\"$
\n" ); document.write( " $\"+13y+-+91+=+-6x+\"$
\n" ); document.write( " $\"+13y+=+-6x+%2B+91+\"$
\n" ); document.write( " $\"+y+=+-%286%2F13%29%2Ax+%2B+7+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "Does it go through (0.7) ?
\n" ); document.write( " $\"+7+=+0+%2B+7+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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