document.write( "Question 1064809: What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3,5)? \n" ); document.write( "

Algebra.Com's Answer #679910 by KMST(5328) $\"\"$ $\"About$

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Parallel lines have the same slope,
\n" ); document.write( "meaning the coefficients of x an y will have the same ratio.
\n" ); document.write( "All lines parallel to line $\"-x%2B3y=6\"$
\n" ); document.write( "will have equations of the form $\"-x%2B3y=K\"$
\n" ); document.write( "If a point with coordinates $\"system%28x=3%2Cy=5%29\"$ is on such a line,
\n" ); document.write( "substituting those values I into the equation
\n" ); document.write( "will give us the value v of $\"K\"$ .
\n" ); document.write( " $\"-3%2B3%2A5=K\"$
\n" ); document.write( " $\"-3%2B15=K\"$
\n" ); document.write( " $\"12=K\"$
\n" ); document.write( "The answer is
\n" ); document.write( " $\"highlight%28-x%2B3y=12%29\"$ \n" ); document.write( "

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