document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225208>Question 225208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to know if x+2y=9 and 2x+4y=3 are perpindicular? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168096 by </B><A HREF=/tutors/aboutme.mpl?userid=LtAurora><B>LtAurora(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LtAurora><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=LtAurora><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Have to get both of them into y-intercept form.<BR>\n" );
document.write( "So, first one:<BR>\n" );
document.write( "Move the x over:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-x%2B9 ALIGN=MIDDLE  ALT=\"2y=-x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B9 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Second one:<BR>\n" );
document.write( "Move the 2x over:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-2x%2B3 ALIGN=MIDDLE  ALT=\"4y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 4:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B3 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "To find out if they are perpendicular, compare the slopes:<BR>\n" );
document.write( "In the first one <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-1%2F2 ALIGN=MIDDLE  ALT=\"m=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in the second one, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-1%2F2 ALIGN=MIDDLE  ALT=\"m=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > also.<BR>\n" );
document.write( "To be perpendicular the slopes need to be negative and inverse of each other. These slopes are equal, so the lines are parallel.<BR>\n" );
document.write( "So, no, not perpendicular. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );