document.write( "Question 769216: Write an equation of the line that passes through (5,6) and is parallel to 3x- 4y=10 \n" ); document.write( "

Algebra.Com's Answer #468694 by Jc0110(165) $\"\"$ $\"About$

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$\"3x-4y=10\"$
\n" ); document.write( " $\"-4y=-3x%2B10\"$
\n" ); document.write( " $\"%28-4y%29%2F-4=%28-3x%29%2F-4%2B10%2F-4\"$
\n" ); document.write( " $\"y=%283%2F4%29x-5%2F2\"$
\n" ); document.write( "Gradients, m of the parallel lines are the same.
\n" ); document.write( " $\"m%5B1%5D=m%5B2%5D\"$
\n" ); document.write( " $\"m%5B2%5D=3%2F4\"$
\n" ); document.write( " $\"y=mx%2Bc\"$ ... Substitute x=5, y=6 and $\"m=3%2F4\"$ into $\"y=mx%2Bc\"$ .
\n" ); document.write( " $\"6=%283%2F4%29%285%29%2Bc\"$
\n" ); document.write( " $\"c=9%2F4\"$ ... Substitute $\"m=3%2F4\"$ and $\"c=9%2F4\"$ into $\"y=mx%2Bc\"$ .
\n" ); document.write( " $\"y=%283%2F4%29x%2B9%2F4\"$
\n" ); document.write( " $\"4y=3x%2B9\"$ \n" ); document.write( "

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