document.write( "Question 769745: through (5,-3), parallel to $\"y=-%282%2F5%29x%2B1\"$ \n" ); document.write( "

Algebra.Com's Answer #469568 by Jc0110(165) $\"\"$ $\"About$

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$\"y=-%282%2F5%29x%2B1\"$
\n" ); document.write( " $\"y=highlight%28-%282%2F5%29%29x%2B1\"$ --> The highlighted region represents the gradient, m of the line.
\n" ); document.write( "The gradients of two parallel lines are the same.
\n" ); document.write( " $\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"$
\n" ); document.write( "where,
\n" ); document.write( "m = gradient
\n" ); document.write( "Substitute $\"x%5B1%5D=5\"$ , $\"y%5B1%5D=-3\"$ and $\"m=-2%2F5\"$ into $\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"$ .
\n" ); document.write( " $\"y-%28-3%29=%28-2%2F5%29%28x-5%29\"$
\n" ); document.write( " $\"y%2B3=%28-2%2F5%29x%2B10%2F5\"$
\n" ); document.write( " $\"y%2B3=%28-2%2F5%29x%2B2\"$
\n" ); document.write( " $\"y=%28-2%2F5%29x%2B2-3\"$
\n" ); document.write( " $\"y=%28-2%2F5%29x-1\"$ \n" ); document.write( "

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