document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499937>Question 499937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a line perpendicular to -8x-4y=10 and having the same y intercept as 1/2x-1/4y=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337915 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=337915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -8x -4y = 10<BR>\n" );
document.write( "-4y = 8x +10<BR>\n" );
document.write( "y = -2x - 5/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1/2x -1/4y = -2<BR>\n" );
document.write( "-1/4y = -1/2x -2<BR>\n" );
document.write( "multiply both sides by -4<BR>\n" );
document.write( "y = 2x +8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A line perpendicular to the first equation will have a slope of 1/2 (the inverse reciprocal of -2).<BR>\n" );
document.write( "The required y-intercept is 8, taken from the second equation.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = 1/2x +8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "In the following graph, the first equation is red; the second is green; and the final equation is blue.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2%2Ax-5%2F2%2C2%2Ax%2B8%2C1%2F2%2Ax%2B8%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2%2Ax-5%2F2%2C2%2Ax%2B8%2C1%2F2%2Ax%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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