document.write( "Question 174231: Which statement is true of the given lines?\r
\n" ); document.write( "\n" ); document.write( "Line a: -2x+y=4 Line b: 2x+5y=2 Line c: x+2y=4\r
\n" ); document.write( "\n" ); document.write( "a) Lines a and b are parallel.
\n" ); document.write( "b) Lines a and c are parallel.
\n" ); document.write( "c) Lines a and b are perpendicular.
\n" ); document.write( "d) Lines a and c are perpendicular.
\n" ); document.write( "

Algebra.Com's Answer #129159 by nerdybill(7384)\"\" \"About 
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( "
\n" );