document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37762>Question 37762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Are the following lines parallel, perpendicular, or neither?<BR>\n" );
document.write( "   L1 through (–4, –7) and (1, 3)<BR>\n" );
document.write( "   L2 through (2, 6) and (4, 10)<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 #23321 by </B><A HREF=/tutors/aboutme.mpl?userid=junior403><B>junior403(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=junior403><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can use the slope formula to determine if these lines are parallel, perpendicular, or neither?<BR>\n" );
document.write( "The slope formula is...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y2+-+y1%29%2F%28x2+-+x1%29+ ALIGN=MIDDLE  ALT=\"m+=+%28y2+-+y1%29%2F%28x2+-+x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = slope of a line, which will determine the relationship of these two lines.<BR>\n" );
document.write( "So you can plug in the points that you have...<BR>\n" );
document.write( "First line: lets call (–4, –7) and (1, 3) = (x1, y1) and (x2, y2)<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%283+-+%28-7%29%29%2F%281+-+%28-4%29%29+ ALIGN=MIDDLE  ALT=\"m+=+%283+-+%28-7%29%29%2F%281+-+%28-4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2810%29+%2F+%285%29+ ALIGN=MIDDLE  ALT=\"+%2810%29+%2F+%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the slope of this line is 2.<BR>\n" );
document.write( "Lets try the next one...<BR>\n" );
document.write( "Second line: lets call (2, 6) and (4, 10) = (x1, y1) and (x2, y2)<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%2810+-+6%29%29%2F%284+-+2%29%29+ ALIGN=MIDDLE  ALT=\"m+=+%2810+-+6%29%29%2F%284+-+2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%29+%2F+%282%29+ ALIGN=MIDDLE  ALT=\"+%284%29+%2F+%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the slope of this line is also 2.<BR>\n" );
document.write( "We know that two lines that have the same slope are parallel.<BR>\n" );
document.write( "I hope this helps.<BR>\n" );
document.write( "Good Luck!  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );