document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76628>Question 76628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for each pair of equations, determine if the lines are parallel, perpendicular, or neither.\r<BR>\n" );
document.write( "\n" );
document.write( "y-3x=10 and 3y+x = -5\r<BR>\n" );
document.write( "\n" );
document.write( "I have no idea how to start.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54960 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All you care about is the slopes of the lines.<BR>\n" );
document.write( "If the slopes are equal, they are parallel.<BR>\n" );
document.write( "If they are perpendicular, they have the relationship<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=+-+1%2Fm%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+-+1%2Fm%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First, find the slopes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+3x+=+10 ALIGN=MIDDLE  ALT=\"y+-+3x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add 3x to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x+%2B+10 ALIGN=MIDDLE  ALT=\"y+=+3x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > where m is the slope, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=+3 ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+%2B+x+=+-5 ALIGN=MIDDLE  ALT=\"3y+%2B+x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+-x+-+5 ALIGN=MIDDLE  ALT=\"3y+=+-x+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F3%29x+-+5 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F3%29x+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D+=+-%281%2F3%29 ALIGN=MIDDLE  ALT=\"m%5B2%5D+=+-%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=+-+1%2Fm%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+-+1%2Fm%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is true, so the lines<BR>\n" );
document.write( "are perpendicular. All you care about is the numbers in<BR>\n" );
document.write( "front of the x.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );