document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166525>Question 166525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x+5y=3<BR>\n" );
document.write( "5x-2y=1 <BR>\n" );
document.write( "determine whether the lines are perpendicular, parallel, or neither </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122726 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+5y=3<BR>\n" );
document.write( "5x-2y=1 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Convert both to the form of:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "to determine the slope of each line.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2x+5y=3<BR>\n" );
document.write( "5y=-2x+3<BR>\n" );
document.write( "y=(-2/5)x + (3/5)<BR>\n" );
document.write( "slope is -2/5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "5x-2y=1 <BR>\n" );
document.write( "2y = 5x + 1<BR>\n" );
document.write( "y = (5/2)x + (1/2)<BR>\n" );
document.write( "slope is 5/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since multiplying both slopes together:<BR>\n" );
document.write( "(-2/5)(5/2) = -1<BR>\n" );
document.write( "they are negative reciprocal<BR>\n" );
document.write( "therefore the two lines are perpendicular\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );