document.write( "Question 174231: Which statement is true of the given lines?\r
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document.write( "Line a: -2x+y=4 Line b: 2x+5y=2 Line c: x+2y=4\r
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document.write( "a) Lines a and b are parallel.
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document.write( "b) Lines a and c are parallel.
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document.write( "c) Lines a and b are perpendicular.
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document.write( "d) Lines a and c are perpendicular. \n" );
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Algebra.Com's Answer #129159 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Rewriting each of the given equation into the \"point-slope\" form of \n" ); document.write( "y = mx + b \n" ); document.write( ". \n" ); document.write( "Line a: -2x+y=4 \n" ); document.write( "y = 2x+4 \n" ); document.write( ". \n" ); document.write( "Line b: 2x+5y=2 \n" ); document.write( "5y = -2x+2 \n" ); document.write( "y = (-2/5)x + 2/5 \n" ); document.write( ". \n" ); document.write( "Line c: x+2y=4 \n" ); document.write( "2y = -x + 4 \n" ); document.write( "y = (-1/2)x + 2 \n" ); document.write( ". \n" ); document.write( "Since NO two lines have the same slope -- no lines are parallel. \n" ); document.write( "Now, if two lines are \"negative reciprocals\" then they are perpendicular. \n" ); document.write( "Slope of line a: 2 \n" ); document.write( "Slope of line c: -1/2 \n" ); document.write( "They are \"negative reciprocals\" -- \n" ); document.write( "that is, if you multiply the two slopes you'll get -1 \n" ); document.write( ". \n" ); document.write( "Answer would be -- d) Lines a and c are perpendicular. \n" ); document.write( " |