document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053194>Question 1053194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the graphs of each pair of equations as parallel, intersecting , or identical. Explain <BR>\n" );
document.write( "A. 4x + y =5 and x-2y=8 <BR>\n" );
document.write( "B. y = 2/3x - 4 and y = -3/2x - 4 <BR>\n" );
document.write( "C. y = 2/5x + 3 and y= 4/10x + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668427 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=668427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel lines have the same slope, different y-intercepts.<BR>\n" );
document.write( "Identical lines have same slope, same y-intercepts.<BR>\n" );
document.write( "The other choice is perpendicular where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D%2Am%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5D%2Am%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > but that's not one of the options. That is a special case of intersecting lines.<BR>\n" );
document.write( "Else, they're intersecting.<BR>\n" );
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document.write( "I'll do one, you do the others,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2By=5 ALIGN=MIDDLE  ALT=\"4x%2By=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B5 ALIGN=MIDDLE  ALT=\"y=-4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=-4 ALIGN=MIDDLE  ALT=\"m%5B1%5D=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y=8 ALIGN=MIDDLE  ALT=\"x-2y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=x-8 ALIGN=MIDDLE  ALT=\"2y=x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F2-4 ALIGN=MIDDLE  ALT=\"y=x%2F2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=1%2F2 ALIGN=MIDDLE  ALT=\"m%5B2%5D=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the slopes are different, intersecting.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=tf1.JPG\">.<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "Do the others the same way. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );