document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186700>Question 186700</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Algebra1 </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graphs of the equations are parallel lines.  8x - 4y = 16 5y - 10x = 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139956 by </B><A HREF=/tutors/aboutme.mpl?userid=uday1435><B>uday1435(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uday1435><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=uday1435><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the line to be parallel, their slopes have to be the same<BR>\n" );
document.write( "To find their slopes let us bring the lines to the slope intercept form<BR>\n" );
document.write( "ie   y = mx + b where m is the slope<BR>\n" );
document.write( "8x – 4y = 16<BR>\n" );
document.write( "4y = 8x – 16,   ie  y = 2x – 4 ( this has a slope = 2)<BR>\n" );
document.write( "The other line is<BR>\n" );
document.write( "5y – 10x = 3  ie  5y = 10x + 3 ; ie y = 2x + (3/5) ( This also has a slope =2)<BR>\n" );
document.write( "Answer: Since both lines have the same slopes( m = 2)  these lines are parallel\r<BR>\n" );
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