document.write( "Question 770161: Which equation represents the line that goes through (4, -1) and is parallel to the line x+2y=4? \n" ); document.write( "

Algebra.Com's Answer #469325 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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Since a line is parallel to the given line $\"x%2B2y=4\"$ , it has an equation $\"x%2B2y=C\"$ . The line goes through (4, -1),substitute into the equation $\"x=4\"$ , $\"y=-1\"$ to find C
\n" ); document.write( " $\"4%2B2%2A%28-1%29=C\"$
\n" ); document.write( " $\"C=2\"$
\n" ); document.write( "The equation of the line is $\"x%2B2y=2\"$ \n" ); document.write( "

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