document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128885>Question 1128885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither.  Show all work and explain your conclusion fully.\r<BR>\n" );
document.write( "\n" );
document.write( "8x-2y=4<BR>\n" );
document.write( "12x=10+3y<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745405 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)  8x-2y = 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2) 12x = 10 +3y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solve equation 1 for y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-2y = -8x +4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = 4x -2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solve equation 2 for y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3y = 12x -10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = 4x -10/3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "equation 1 and equation 2 are parallel because they have the same slope, that is, their slopes are 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "here is a graph of both equations, equation 1 is red and equation 2 is green<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+4x-2%2C+4x+-%2810%2F3%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+4x-2%2C+4x+-%2810%2F3%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );