document.write( "Question 489185: Find k so that the line kx-3y=4k is parallel to the line 2x-4y=1 \n" ); document.write( "
Algebra.Com's Answer #333591 by dan_math(11)![]() ![]() ![]() You can put this solution on YOUR website! If 2 lines are parallel then they have equal slope. \r \n" ); document.write( "\n" ); document.write( "Rewrite your equations in a standard form: y=ax+b\r \n" ); document.write( "\n" ); document.write( "kx-3y=4k; \n" ); document.write( "-3y=-kx+4k; \n" ); document.write( "y=(k/3)x+4k/3; \n" ); document.write( "the slope of this equation is m1=k/3\r \n" ); document.write( "\n" ); document.write( "the other equation: \n" ); document.write( "2x-4y=1 \n" ); document.write( "-4y=-2x+1 \n" ); document.write( "y=(1/2)x-1/4 \n" ); document.write( "the slope of this equation is m2=1/2\r \n" ); document.write( "\n" ); document.write( "since the lines are parallel, m1=m2 so k/3=1/2, k=3/2 \n" ); document.write( " |